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Google Keyword Rankings for : pseudospectral method kdv
1
a pseudospectral procedure for the solution of nonlinear wave ...
https://math.nyu.edu/faculty/tabak/publications/pseudospectral.pdf
This equation contains the KdV and Boussinesq equations when restricted to one- dimensional waves, and the Kadomtsev–Petviashvili (KP) equation as a limiting ...
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https://math.nyu.edu/faculty/tabak/publications/pseudospectral.pdf
This equation contains the KdV and Boussinesq equations when restricted to one- dimensional waves, and the Kadomtsev–Petviashvili (KP) equation as a limiting ...
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2
A pseudo-spectral method for a non-local KdV–Burgers ...
https://www.sciencedirect.com/science/article/pii/S0021999116000395
In this paper, we present a new pseudo-spectral method to solve the initial value problem associated to a non-local KdV–Burgers equation ...
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https://www.sciencedirect.com/science/article/pii/S0021999116000395
In this paper, we present a new pseudo-spectral method to solve the initial value problem associated to a non-local KdV–Burgers equation ...
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3
Solving Variable Coefficient Korteweg-de Vries Equation ...
https://www.researchgate.net/publication/343651272_Solving_Variable_Coefficient_Korteweg-de_Vries_Equation_Using_Pseudospectral_Method
In this research, we will continue the study of KdV equation. when variable topography is taken into account using. Pseudospectral Method ...
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https://www.researchgate.net/publication/343651272_Solving_Variable_Coefficient_Korteweg-de_Vries_Equation_Using_Pseudospectral_Method
In this research, we will continue the study of KdV equation. when variable topography is taken into account using. Pseudospectral Method ...
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4
Spectral Difference Methods for solv- ing Equations of the KdV ...
https://core.ac.uk/download/pdf/37321075.pdf
The Korteweg-de Vries (KdV) hierarchy is an important class of nonlinear evolution equa- tions with various applications in the physical sciences and in ...
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https://core.ac.uk/download/pdf/37321075.pdf
The Korteweg-de Vries (KdV) hierarchy is an important class of nonlinear evolution equa- tions with various applications in the physical sciences and in ...
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5
A pseudo-spectral method for a non-local KdV-Burgers ... - arXiv
https://arxiv.org/abs/1511.08000
Abstract: In this paper, we present a new pseudo-spectral method to solve the initial value problem associated to a non-local KdV-Burgers ...
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https://arxiv.org/abs/1511.08000
Abstract: In this paper, we present a new pseudo-spectral method to solve the initial value problem associated to a non-local KdV-Burgers ...
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6
Fourier spectral methods for solving some nonlinear partial ...
http://www.i-csrs.org/Volumes/ijopcm/vol.6/6.2.14.pdf
pseudospectral method. 2 Analysis the method for the Korteweg-de Vries (KdV) equation. Now, consider the standard KdV equation in the form.
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http://www.i-csrs.org/Volumes/ijopcm/vol.6/6.2.14.pdf
pseudospectral method. 2 Analysis the method for the Korteweg-de Vries (KdV) equation. Now, consider the standard KdV equation in the form.
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7
Pseudospecteral method with linear damping effect and de ...
https://iopscience.iop.org/article/10.1088/1742-6596/1366/1/012009/pdf
Pseudospectral method is an alternative of finite differences and finite elements ... perturbed KdV equation was numerically successfull by pseudospectral ...
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https://iopscience.iop.org/article/10.1088/1742-6596/1366/1/012009/pdf
Pseudospectral method is an alternative of finite differences and finite elements ... perturbed KdV equation was numerically successfull by pseudospectral ...
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8
method of lines and pseudospectral solutions of the forced ...
http://ijpam.eu/contents/2017-116-4/15/15.pdf
The KdV equation (10) was first introduced by Korteweg-and Vries [10] ... Pseudospectral method transforms the spatial derivatives of the ...
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http://ijpam.eu/contents/2017-116-4/15/15.pdf
The KdV equation (10) was first introduced by Korteweg-and Vries [10] ... Pseudospectral method transforms the spatial derivatives of the ...
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9
Numerical Solution of Korteweg-de Vries Equation by the ...
https://projecteuclid.org/journals/bulletin-of-the-belgian-mathematical-society-simon-stevin/volume-14/issue-4/Numerical-Solution-of-Korteweg-de-Vries-Equation-by-the-Fourier/10.36045/bbms/1195157139.pdf
order KdV equation with a set of initial and boundary conditions. An artificial viscosity was used to reduce the round-off error of pseudospectral method.
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https://projecteuclid.org/journals/bulletin-of-the-belgian-mathematical-society-simon-stevin/volume-14/issue-4/Numerical-Solution-of-Korteweg-de-Vries-Equation-by-the-Fourier/10.36045/bbms/1195157139.pdf
order KdV equation with a set of initial and boundary conditions. An artificial viscosity was used to reduce the round-off error of pseudospectral method.
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10
A pseudo-spectral method for a non-local KdV-Burgers ...
https://www.arxiv-vanity.com/papers/1511.08000/
In this paper, we present a new pseudo-spectral method to solve the initial value problem associated to a non-local KdV-Burgers equation involving a ...
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https://www.arxiv-vanity.com/papers/1511.08000/
In this paper, we present a new pseudo-spectral method to solve the initial value problem associated to a non-local KdV-Burgers equation involving a ...
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11
The Pseudospectral Method for Third-Order Differential ...
https://epubs.siam.org/doi/10.1137/0729094
Generalized quadrature rules are derived which assist in the selection of collocation points for the pseudospectral solution of differential equations.
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https://epubs.siam.org/doi/10.1137/0729094
Generalized quadrature rules are derived which assist in the selection of collocation points for the pseudospectral solution of differential equations.
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12
Spectral Methods for Partial Differential Equations that Model ...
https://digital.lib.washington.edu/researchworks/bitstream/handle/1773/26535/Fabien_washington_0250O_13298.pdf;sequence=1
Fourier Spectral method for the Korteweg–de Vries (KdV) equation . . 3 ... 6.4 Radial basis function pseudospectral method for the KdV equation .
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https://digital.lib.washington.edu/researchworks/bitstream/handle/1773/26535/Fabien_washington_0250O_13298.pdf;sequence=1
Fourier Spectral method for the Korteweg–de Vries (KdV) equation . . 3 ... 6.4 Radial basis function pseudospectral method for the KdV equation .
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13
Spectral method in time for KdV equations - SpringerLink
https://link.springer.com/article/10.1007/BF00193801
This paper presents a fully spectral discretization method for solving KdV equations with periodic boundary conditions: Chebyshev pseudospectral approximat.
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https://link.springer.com/article/10.1007/BF00193801
This paper presents a fully spectral discretization method for solving KdV equations with periodic boundary conditions: Chebyshev pseudospectral approximat.
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14
A pseudo-spectral method for a non-local ... - Papers With Code
https://paperswithcode.com/paper/a-pseudo-spectral-method-for-a-non-local-kdv
In this paper, we present a new pseudo-spectral method to solve the initial value problem associated to a non-local KdV-Burgers equation ...
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https://paperswithcode.com/paper/a-pseudo-spectral-method-for-a-non-local-kdv
In this paper, we present a new pseudo-spectral method to solve the initial value problem associated to a non-local KdV-Burgers equation ...
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15
Pseudospectral to solve kdv - Physics Forums
https://www.physicsforums.com/threads/pseudospectral-to-solve-kdv.265790/
Hi, I'm having a problem coding pseudospectral method to solve KdV equation in matlab. Can someone help me? thanks in advance. KdV equation.
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https://www.physicsforums.com/threads/pseudospectral-to-solve-kdv.265790/
Hi, I'm having a problem coding pseudospectral method to solve KdV equation in matlab. Can someone help me? thanks in advance. KdV equation.
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16
MULTI-SYMPLECTIC FOURIER PSEUDOSPECTRAL METHOD ...
https://www.computmath.com/jcm/EN/10.4208/jcm.1502-m4400
The higher order wave equation of KdV type, which describes many important physical phenomena, has been investigated widely in last several decades.
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https://www.computmath.com/jcm/EN/10.4208/jcm.1502-m4400
The higher order wave equation of KdV type, which describes many important physical phenomena, has been investigated widely in last several decades.
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17
Multi-symplectic method for the coupled Schrödinger-KdV ...
http://cpb.iphy.ac.cn/CN/10.1088/1674-1056/23/8/080204
Then we develop a novel multi-symplectic Fourier pseudospectral (MSFP) scheme for the CSKE. In numerical experiments, we compare the MSFP method with the ...
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http://cpb.iphy.ac.cn/CN/10.1088/1674-1056/23/8/080204
Then we develop a novel multi-symplectic Fourier pseudospectral (MSFP) scheme for the CSKE. In numerical experiments, we compare the MSFP method with the ...
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18
[PDF] A pseudo-spectral method for a non-local KdV-Burgers ...
https://oa.mg/work/10.1016/j.jcp.2016.01.031
Abstract In this paper, we present a new pseudo-spectral method to solve the initial value problem associated to a non-local KdV–Burgers equation involving ...
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https://oa.mg/work/10.1016/j.jcp.2016.01.031
Abstract In this paper, we present a new pseudo-spectral method to solve the initial value problem associated to a non-local KdV–Burgers equation involving ...
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19
Multi-Symplectic Fourier Pseudospectral Method for a Higher ...
https://global-sci.org/intro/article_detail/jcm/9849.html
The higher order wave equation of KdV type, which describes many important physical phenomena, has been investigated widely in last several decades.
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https://global-sci.org/intro/article_detail/jcm/9849.html
The higher order wave equation of KdV type, which describes many important physical phenomena, has been investigated widely in last several decades.
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20
KdV Pseudospectral Methods Work-Precision Diagrams
https://benchmarks.sciml.ai/html/MOLPDE/kdv_spectral_wpd.html
KdV Pseudospectral Methods Work-Precision Diagrams. HAO HAO. using ApproxFun, OrdinaryDiffEq, Sundials, BenchmarkTools, DiffEqOperators
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https://benchmarks.sciml.ai/html/MOLPDE/kdv_spectral_wpd.html
KdV Pseudospectral Methods Work-Precision Diagrams. HAO HAO. using ApproxFun, OrdinaryDiffEq, Sundials, BenchmarkTools, DiffEqOperators
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21
MULTI-SYMPLECTIC FOURIER PSEUDOSPECTRAL ... - jstor
https://www.jstor.org/stable/43693867
MULTI-SYMPLECTIC FOURIER PSEUDOSPECTRAL METHOD. FOR A HIGHER ORDER WAVE EQUATION OF KDV TYPE*. Junjie Wang. Mathematics and Statistical Institute , Pu Er ...
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https://www.jstor.org/stable/43693867
MULTI-SYMPLECTIC FOURIER PSEUDOSPECTRAL METHOD. FOR A HIGHER ORDER WAVE EQUATION OF KDV TYPE*. Junjie Wang. Mathematics and Statistical Institute , Pu Er ...
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22
Numerical Solution of the KdV - WikiWaves
https://wikiwaves.org/Numerical_Solution_of_the_KdV
We present here a method to solve the KdV equation numerically. ... Spectral methods work by using the Fourier transform (or some varient of ...
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https://wikiwaves.org/Numerical_Solution_of_the_KdV
We present here a method to solve the KdV equation numerically. ... Spectral methods work by using the Fourier transform (or some varient of ...
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23
Parallel implementation of the split-step and ... - IDEAS/RePEc
https://ideas.repec.org/a/eee/matcom/v62y2003i1p41-51.html
Parallel implementation of the split-step and the pseudospectral methods for solving higher KdV equation. Author & abstract; Download; 1 Citations ...
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https://ideas.repec.org/a/eee/matcom/v62y2003i1p41-51.html
Parallel implementation of the split-step and the pseudospectral methods for solving higher KdV equation. Author & abstract; Download; 1 Citations ...
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24
A Numerical Solution of the Lax's 7th-order KdV Equation by ...
http://www.m-hikari.com/ijcms-password2007/21-24-2007/darvishiIJCMS21-24-2007-2.pdf
(KdV) equation by pseudospectral method. To enhance the accuracy in matrix vector multiplication method we use Darvishi's preconditioning.
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http://www.m-hikari.com/ijcms-password2007/21-24-2007/darvishiIJCMS21-24-2007-2.pdf
(KdV) equation by pseudospectral method. To enhance the accuracy in matrix vector multiplication method we use Darvishi's preconditioning.
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25
Numerical Solutions to the KdV Equation
https://newtraell.cs.uchicago.edu/files/ms_paper/hmmorgan.pdf
plement certain methods to solve KdV. For example, an intrinsically parallel finite difference scheme was developed in [9] and a pseudospectral method was ...
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https://newtraell.cs.uchicago.edu/files/ms_paper/hmmorgan.pdf
plement certain methods to solve KdV. For example, an intrinsically parallel finite difference scheme was developed in [9] and a pseudospectral method was ...
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26
A review of pseudospectral methods for solving partial ...
https://www.cambridge.org/core/journals/acta-numerica/article/review-of-pseudospectral-methods-for-solving-partial-differential-equations/E921CA187B5F35E0BEF9ACAA285C083B
A review of pseudospectral methods for solving partial differential equations. Published online by Cambridge University Press: 07 November 2008.
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https://www.cambridge.org/core/journals/acta-numerica/article/review-of-pseudospectral-methods-for-solving-partial-differential-equations/E921CA187B5F35E0BEF9ACAA285C083B
A review of pseudospectral methods for solving partial differential equations. Published online by Cambridge University Press: 07 November 2008.
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27
A reliable algorithm to compute the approximate ... - PLOS
https://journals.plos.org/plosone/article?id=10.1371/journal.pone.0244027
One-dimensional Haar wavelet collocation method is verified on ... [2] solved the Lax's seventh-order KdV equation by pseudospectral method.
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https://journals.plos.org/plosone/article?id=10.1371/journal.pone.0244027
One-dimensional Haar wavelet collocation method is verified on ... [2] solved the Lax's seventh-order KdV equation by pseudospectral method.
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28
Spectral collocation solution of a generalized Hirota–Satsuma ...
https://www.tandfonline.com/doi/abs/10.1080/00207160701227863
In this paper the solution of a generalized Hirota–Satsuma Korteweg–de Vires (KdV) equation using a pseudospectral method is presented.
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https://www.tandfonline.com/doi/abs/10.1080/00207160701227863
In this paper the solution of a generalized Hirota–Satsuma Korteweg–de Vires (KdV) equation using a pseudospectral method is presented.
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29
Numerical investigations of the Korteweg-de Vries (KdV ...
https://research.library.mun.ca/8921/
In §3 we will discuss the historical numerical schemes for the KdV equation, including finite difference methods, pseudospectral methods, collocation, and ...
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https://research.library.mun.ca/8921/
In §3 we will discuss the historical numerical schemes for the KdV equation, including finite difference methods, pseudospectral methods, collocation, and ...
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30
A Bivariate Chebyshev Spectral Collocation ... - NCBI
https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4164311/
In this paper, we use the method to solve several nonlinear evolution equations, such as the modified KdV-Burgers equation, highly nonlinear modified KdV ...
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https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4164311/
In this paper, we use the method to solve several nonlinear evolution equations, such as the modified KdV-Burgers equation, highly nonlinear modified KdV ...
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31
Spectral Method in Time for KdV Equations
http://www.applmathmech.cn/en/article/id/2762
This paper presents a fully spectral discretization method for solving KdV equations with periodic boundary conditions.Chebyshev pseudospectral ...
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http://www.applmathmech.cn/en/article/id/2762
This paper presents a fully spectral discretization method for solving KdV equations with periodic boundary conditions.Chebyshev pseudospectral ...
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32
Analytical and Numerical Aspects of Certain Nonlinear ...
http://webster.cs.uga.edu/~thiab/KdV_3.pdf
method, and (ix) pseudospectral method by Fornberg and Whitham. Comparisons between ... The following numerical methods are applied to the KdV equation:.
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http://webster.cs.uga.edu/~thiab/KdV_3.pdf
method, and (ix) pseudospectral method by Fornberg and Whitham. Comparisons between ... The following numerical methods are applied to the KdV equation:.
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33
Implement pseudo-spectral method with RK4 in Python
https://stackoverflow.com/questions/29617089/implement-pseudo-spectral-method-with-rk4-in-python
In general it looks good. Better use a FuncAnimation, reduces the memory footprint and works: #----- Animate the numerical solution ----- fig = plt.figure() ...
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https://stackoverflow.com/questions/29617089/implement-pseudo-spectral-method-with-rk4-in-python
In general it looks good. Better use a FuncAnimation, reduces the memory footprint and works: #----- Animate the numerical solution ----- fig = plt.figure() ...
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34
A non-local KdV-Burgers equation: Numerical study of ...
http://www.bcamath.org/documentos_public/archivos/actividades_cientificas/Talk_Cuesta-fcpnlo-2015.pdf
Introduction. The pseudospectral method. Numerical Tests for ∂x Dα. Numerical Results. A non-local KdV-Burgers equation: Numerical study of.
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http://www.bcamath.org/documentos_public/archivos/actividades_cientificas/Talk_Cuesta-fcpnlo-2015.pdf
Introduction. The pseudospectral method. Numerical Tests for ∂x Dα. Numerical Results. A non-local KdV-Burgers equation: Numerical study of.
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35
Multi-symplectic integrator of the generalized KdV-type ...
https://www.nature.com/articles/s41598-019-52419-8.pdf?origin=ppub
for the generalized KdV equation based on the fourier pseudo-spectral method and the symplectic euler scheme is constructed. through a numerical examination ...
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https://www.nature.com/articles/s41598-019-52419-8.pdf?origin=ppub
for the generalized KdV equation based on the fourier pseudo-spectral method and the symplectic euler scheme is constructed. through a numerical examination ...
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36
A Novel Class of Energy-Preserving Runge-Kutta Methods for ...
https://www.global-sci.com/intro/online/read?online_id=1645
preserving algorithm, Fourier pseudo-spectral method. 1. Introduction. In this paper, we are concerned with the Korteweg-de Vries (KdV) ...
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https://www.global-sci.com/intro/online/read?online_id=1645
preserving algorithm, Fourier pseudo-spectral method. 1. Introduction. In this paper, we are concerned with the Korteweg-de Vries (KdV) ...
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37
Parallel implementation of the split-step and the pseudospectral ...
https://dl.acm.org/doi/10.5555/770041.770047
Numerical simulations show that higher order KdV equation under certain ... of the split-step and the pseudospectral methods for solving higher KdV equation.
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https://dl.acm.org/doi/10.5555/770041.770047
Numerical simulations show that higher order KdV equation under certain ... of the split-step and the pseudospectral methods for solving higher KdV equation.
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38
Meshfree Collocation Method for the Numerical Solution of ...
https://jacm.scu.ac.ir/article_15919_1568f1934109c89897c6737bb99f1f06.pdf
Lax 7th-order KdV equation by pseudospectral method [15]. Kashkari, B. S., Bakodah, H. O., applied Laplace decomposition method.
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https://jacm.scu.ac.ir/article_15919_1568f1934109c89897c6737bb99f1f06.pdf
Lax 7th-order KdV equation by pseudospectral method [15]. Kashkari, B. S., Bakodah, H. O., applied Laplace decomposition method.
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39
Hermite pseudospectral method for nonlinear partial ... - EUDML
https://eudml.org/doc/197437
"Hermite pseudospectral method for nonlinear partial differential equations." ESAIM: Mathematical Modelling and Numerical Analysis 34.4 (2010): 859-872.
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https://eudml.org/doc/197437
"Hermite pseudospectral method for nonlinear partial differential equations." ESAIM: Mathematical Modelling and Numerical Analysis 34.4 (2010): 859-872.
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40
A Study on Exact Travelling Wave Solutions of Generalized ...
https://www.scirp.org/journal/paperinformation.aspx?paperid=93952
For these generalized KdV equations, it is found that the change of the exponents of the wave ... By using a Fourier pseudospectral method combined with a ...
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https://www.scirp.org/journal/paperinformation.aspx?paperid=93952
For these generalized KdV equations, it is found that the change of the exponents of the wave ... By using a Fourier pseudospectral method combined with a ...
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41
jundongq/Korteweg-deVries-KdV-Equation-Solution - GitHub
https://github.com/jundongq/Korteweg-deVries-KdV-Equation-Solution
Pseudo-spectral method was employed to numerically solve KdV equation - GitHub - jundongq/Korteweg-deVries-KdV-Equation-Solution: Pseudo-spectral method was ...
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https://github.com/jundongq/Korteweg-deVries-KdV-Equation-Solution
Pseudo-spectral method was employed to numerically solve KdV equation - GitHub - jundongq/Korteweg-deVries-KdV-Equation-Solution: Pseudo-spectral method was ...
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42
Cookbook/KdV - SciPy wiki dump
https://scipy.github.io/old-wiki/pages/Cookbook/KdV.html
8 u = 0.5*c*np.cosh(0.5*np.sqrt(c)*x)**(-2) 9 return u 10 11 def kdv(u, t, ... 13 # Compute the x derivatives using the pseudo-spectral method.
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https://scipy.github.io/old-wiki/pages/Cookbook/KdV.html
8 u = 0.5*c*np.cosh(0.5*np.sqrt(c)*x)**(-2) 9 return u 10 11 def kdv(u, t, ... 13 # Compute the x derivatives using the pseudo-spectral method.
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43
Carlota Cuesta - Publications - Google Sites
https://sites.google.com/site/cmcuestar/home/publications
A Pseudospectral Method for the One-Dimensional Fractional Laplacian on R, ... A pseudo-spectral method for a non-local KdV-Burgers equation posed on R,.
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https://sites.google.com/site/cmcuestar/home/publications
A Pseudospectral Method for the One-Dimensional Fractional Laplacian on R, ... A pseudo-spectral method for a non-local KdV-Burgers equation posed on R,.
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44
A pseudospectral method for solving the time-fractional ...
https://rjp.nipne.ro/2017_62_1-2/RomJPhys.62.105.pdf
Pseudospectral method for generalized Hirota-Satsuma coupled KdV system ... 3, the operational matrix and the pseudo-spectral method are.
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https://rjp.nipne.ro/2017_62_1-2/RomJPhys.62.105.pdf
Pseudospectral method for generalized Hirota-Satsuma coupled KdV system ... 3, the operational matrix and the pseudo-spectral method are.
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45
Spectral4 - YouTube
https://www.youtube.com/watch?v=pUajpV0RIXE
Nathan Kutz
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https://www.youtube.com/watch?v=pUajpV0RIXE
Nathan Kutz
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46
A local discontinuous Galerkin method for the Korteweg–de ...
https://faculty.sites.iastate.edu/hliu/files/inline-files/Liu-Yan-KdV-JCP06.pdf
For KdV equation posed on the infinite line, there has been several quite successful numerical methods available such as spectral/pseudospectral methods, ...
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https://faculty.sites.iastate.edu/hliu/files/inline-files/Liu-Yan-KdV-JCP06.pdf
For KdV equation posed on the infinite line, there has been several quite successful numerical methods available such as spectral/pseudospectral methods, ...
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47
On the rate of convergence of a collocation ... - Numdam
http://www.numdam.org/articles/10.1051/m2an:2007010/
Based on estimates for the KdV equation in analytic Gevrey classes, ... [24] J.E. Pasciak, Spectral and pseudospectral methods for advection equations.
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http://www.numdam.org/articles/10.1051/m2an:2007010/
Based on estimates for the KdV equation in analytic Gevrey classes, ... [24] J.E. Pasciak, Spectral and pseudospectral methods for advection equations.
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48
Solution for fractional forced KdV equation using ... - AIMS Press
http://www.aimspress.com/article/10.3934/math.2020054
The fractional natural decomposition method (FNDM) is employed in the present investigation to find the solution for fractional forced Korteweg-de Vries ...
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http://www.aimspress.com/article/10.3934/math.2020054
The fractional natural decomposition method (FNDM) is employed in the present investigation to find the solution for fractional forced Korteweg-de Vries ...
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49
a numerical study for improving time step methods in ...
http://venus.ceride.gov.ar/ojs/index.php/mc/article/viewFile/3949/3866
explicit methods for non linear differential equations. In the present work a pseudospectral method was implemented for the KdV equation, and with the aid.
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http://venus.ceride.gov.ar/ojs/index.php/mc/article/viewFile/3949/3866
explicit methods for non linear differential equations. In the present work a pseudospectral method was implemented for the KdV equation, and with the aid.
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50
A Multi-Domain Bivariate Pseudospectral Method for Evolution ...
https://www.worldscientific.com/doi/abs/10.1142/S0219876217500414
The method is used to solve several nonlinear evolution partial differential equations, namely, the modified KdV–Burgers equation, ...
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https://www.worldscientific.com/doi/abs/10.1142/S0219876217500414
The method is used to solve several nonlinear evolution partial differential equations, namely, the modified KdV–Burgers equation, ...
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51
Fourier Methods with Extended Stability Intervals for the ...
http://ftp.cs.yale.edu/publications/techreports/tr295.pdf
which solve the linear part of the KdV equation and Leap Frog for time ... equation on I = [0, L] by three-level spectral and pseudospectral methods.
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http://ftp.cs.yale.edu/publications/techreports/tr295.pdf
which solve the linear part of the KdV equation and Leap Frog for time ... equation on I = [0, L] by three-level spectral and pseudospectral methods.
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52
samad kheybari - Google Scholar
https://scholar.google.com/citations?user=AT7W8E4AAAAJ&hl=en
A Numerical Solution of the Lax's 7th-order KdV equation by Pseudospectral Method and Darvishi's Preconditioning. MT Darvishi, F Khani, S Kheybari.
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https://scholar.google.com/citations?user=AT7W8E4AAAAJ&hl=en
A Numerical Solution of the Lax's 7th-order KdV equation by Pseudospectral Method and Darvishi's Preconditioning. MT Darvishi, F Khani, S Kheybari.
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53
Fourier Pseudospectral Method for Two-Dimensional Vorticity ...
https://academic.oup.com/imajna/article-abstract/7/1/47/885164
In this paper we develop a Fourier pseudospectral method for solving ... schemes for the K.D.V.-Burgers equation, the two-dimensional vorticity equations, ...
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https://academic.oup.com/imajna/article-abstract/7/1/47/885164
In this paper we develop a Fourier pseudospectral method for solving ... schemes for the K.D.V.-Burgers equation, the two-dimensional vorticity equations, ...
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54
PSEUDOSPECTRAL METHODS FOR THE BENJAMIN-ONO ...
http://appliedmaths.sun.ac.za/~weideman/BenjaminOno.pdf
JEN. The BO equation is closely related to the more famous Korteweg-de Vries (KdV) equation, in which tr replaces the Hilbert transform term in (1).
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http://appliedmaths.sun.ac.za/~weideman/BenjaminOno.pdf
JEN. The BO equation is closely related to the more famous Korteweg-de Vries (KdV) equation, in which tr replaces the Hilbert transform term in (1).
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55
Implicit Pseudo-Spectral Methods for Dispersive and Wave ...
https://cab.unime.it/journals/index.php/congress/article/download/119/119
Pseudo-spectral methods using the trapezoid rule have been applied ... several problems of interest governed by nonlinear PDEs: Korteweg-de Vries (KdV),.
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https://cab.unime.it/journals/index.php/congress/article/download/119/119
Pseudo-spectral methods using the trapezoid rule have been applied ... several problems of interest governed by nonlinear PDEs: Korteweg-de Vries (KdV),.
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56
A tutorial on the pseudo-spectral method - astro.auth.gr
https://www.astro.auth.gr/~vlahos/GravitoplasmaWS1/pseudo-spectral_2.pdf
Pseudo-spectral methods and Fourier transforms ... the pseudo-spectral (PS) methods are methods to solve partial ... Korteweg de Vries equation (KdV).
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https://www.astro.auth.gr/~vlahos/GravitoplasmaWS1/pseudo-spectral_2.pdf
Pseudo-spectral methods and Fourier transforms ... the pseudo-spectral (PS) methods are methods to solve partial ... Korteweg de Vries equation (KdV).
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57
Average vector field methods for the coupled Schrödinger—KdV ...
https://ui.adsabs.harvard.edu/abs/2014ChPhB..23g0208Z/abstract
Two energy preserving schemes are constructed by using Fourier pseudospectral method in space direction discretization. In order to accelerate our ...
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https://ui.adsabs.harvard.edu/abs/2014ChPhB..23g0208Z/abstract
Two energy preserving schemes are constructed by using Fourier pseudospectral method in space direction discretization. In order to accelerate our ...
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58
Numerical Solution of Hirota-satsuma Coupled Kdv System by ...
https://journal.uod.ac/index.php/uodjournal/article/view/1926
Keywords: Hirota-Satsuma Coupled KdV system; Radial basis functions; Pseudospectral method; Runge-Kutta 4th order method ...
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https://journal.uod.ac/index.php/uodjournal/article/view/1926
Keywords: Hirota-Satsuma Coupled KdV system; Radial basis functions; Pseudospectral method; Runge-Kutta 4th order method ...
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59
Numerical Solution of a Boussinesq Type Equation Using ...
https://www.degruyter.com/document/doi/10.1515/zna-2010-0407/pdf
These methods use a pseudospectral (Fourier transform) treatment of the space ... The Korteweg-de Vries (KdV) equation is one famous.
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https://www.degruyter.com/document/doi/10.1515/zna-2010-0407/pdf
These methods use a pseudospectral (Fourier transform) treatment of the space ... The Korteweg-de Vries (KdV) equation is one famous.
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60
Attia Mostafa_thesis.pdf - moodle.matf.bg.ac.rs
http://enastava.matf.bg.ac.rs/~matf/Doktorske_disertacije/Attia%20Mostafa_thesis.pdf
5.6 Pseudospectral Method, reduced the number of points to N = 26, the method ... Korteweg-de Vries equation or KdV equation is the principal nonlinear wave ...
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http://enastava.matf.bg.ac.rs/~matf/Doktorske_disertacije/Attia%20Mostafa_thesis.pdf
5.6 Pseudospectral Method, reduced the number of points to N = 26, the method ... Korteweg-de Vries equation or KdV equation is the principal nonlinear wave ...
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61
A Class of Momentum-Preserving Fourier Pseudo-Spectral ...
http://www.iaeng.org/IJAM/issues_v49/issue_4/IJAM_49_4_22.pdf
Pseudo-Spectral method; KdV equation. I. INTRODUCTION. IN this paper, we consider the numerical approximation of.
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http://www.iaeng.org/IJAM/issues_v49/issue_4/IJAM_49_4_22.pdf
Pseudo-Spectral method; KdV equation. I. INTRODUCTION. IN this paper, we consider the numerical approximation of.
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62
Korteweg de Vries equation — SciPy Cookbook documentation
https://scipy-cookbook.readthedocs.io/items/KdV.html
... L): """Differential equations for the KdV equation, discretized in x.""" # Compute the x derivatives using the pseudo-spectral method.
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https://scipy-cookbook.readthedocs.io/items/KdV.html
... L): """Differential equations for the KdV equation, discretized in x.""" # Compute the x derivatives using the pseudo-spectral method.
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63
a numerical study for improving time step methods in ...
https://www.academia.edu/21140734/A_NUMERICAL_STUDY_FOR_IMPROVING_TIME_STEP_METHODS_IN_PSUDOSPECTRAL_SCHEMES_APPLIED_TO_THE_KORTEWEG_AND_DE_VRIES_EQUATION
In the present work a pseudospectral method was implemented for the KdV equation, and with the aid of the IF and ETD a several numerical experiments was ...
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https://www.academia.edu/21140734/A_NUMERICAL_STUDY_FOR_IMPROVING_TIME_STEP_METHODS_IN_PSUDOSPECTRAL_SCHEMES_APPLIED_TO_THE_KORTEWEG_AND_DE_VRIES_EQUATION
In the present work a pseudospectral method was implemented for the KdV equation, and with the aid of the IF and ETD a several numerical experiments was ...
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64
Geometric numerical schemes for the KdV equation - ProQuest
https://search.proquest.com/openview/dbb1092c3a9643a3a4cce530355fbcb3/1?pq-origsite=gscholar&cbl=60276
... as Fourier type pseudospectral methods for computing the long time KdV dynamics, ... numerical schemes, Hamiltonian structures, pseudo spectral methods,.
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https://search.proquest.com/openview/dbb1092c3a9643a3a4cce530355fbcb3/1?pq-origsite=gscholar&cbl=60276
... as Fourier type pseudospectral methods for computing the long time KdV dynamics, ... numerical schemes, Hamiltonian structures, pseudo spectral methods,.
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65
and right-sided fractional derivative - Emerald Insight
https://www.emerald.com/insight/content/doi/10.1108/AJMS-02-2021-0052/full/html
Applying the MOL method together with the pseudospectral ... method of lines for the numerical solution of KdV equation using radial basis ...
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https://www.emerald.com/insight/content/doi/10.1108/AJMS-02-2021-0052/full/html
Applying the MOL method together with the pseudospectral ... method of lines for the numerical solution of KdV equation using radial basis ...
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66
Multi-symplectic quasi-interpolation method for the KdV equation
https://ouci.dntb.gov.ua/en/works/4kd2g6El/
Multi-symplectic quasi-interpolation method for the KdV equation ... Chen JB, Qin MZ (2001) Multi-symplectic Fourier pseudospectral method for the nonlinear ...
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https://ouci.dntb.gov.ua/en/works/4kd2g6El/
Multi-symplectic quasi-interpolation method for the KdV equation ... Chen JB, Qin MZ (2001) Multi-symplectic Fourier pseudospectral method for the nonlinear ...
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67
Brian R. Johansen
https://dam-oclc.bac-lac.gc.ca/download?is_thesis=1&oclc_number=1320817398&id=c2ce4042-1a3f-49fa-9fff-f34f1bee0293&fileName=Johansen_BrianR.pdf
(197 ) devised a pseudospectral method which was th fastest m thad to date, to the KdV equation [9]. It used three fast Fourier tran forms per time.
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https://dam-oclc.bac-lac.gc.ca/download?is_thesis=1&oclc_number=1320817398&id=c2ce4042-1a3f-49fa-9fff-f34f1bee0293&fileName=Johansen_BrianR.pdf
(197 ) devised a pseudospectral method which was th fastest m thad to date, to the KdV equation [9]. It used three fast Fourier tran forms per time.
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68
Chebyshev Rational Approximations for the Rosenau-KdV ...
http://etamaths.com/index.php/ijaa/article/view/864
The fully discrete Chebyshev pseudo-spectral scheme is constructed. ... M. Dehghan, A.Shokri, A numerical method for KdV equation using collocation and ...
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http://etamaths.com/index.php/ijaa/article/view/864
The fully discrete Chebyshev pseudo-spectral scheme is constructed. ... M. Dehghan, A.Shokri, A numerical method for KdV equation using collocation and ...
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69
The computation of spectral representations for evolution PDE
https://www.reading.ac.uk/maths-and-stats/-/media/project/uor-main/schools-departments/maths/documents/sanitavetrapdf.pdf?la=en&hash=5F4BBA00FD269E8CE20180C382CFAA59
In the work following, the linear KdV equation will be computed numerically using both a pseudospectral method and the dircet evaluation of ...
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https://www.reading.ac.uk/maths-and-stats/-/media/project/uor-main/schools-departments/maths/documents/sanitavetrapdf.pdf?la=en&hash=5F4BBA00FD269E8CE20180C382CFAA59
In the work following, the linear KdV equation will be computed numerically using both a pseudospectral method and the dircet evaluation of ...
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70
Space–Time Spectral Collocation Method for Solving Burgers ...
https://www.mdpi.com/2073-8994/11/12/1439/htm
In this method, the variables of the equation are first approximated by ... accuracy of the spectral and pseudospectral methods for the Burgers equation.
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https://www.mdpi.com/2073-8994/11/12/1439/htm
In this method, the variables of the equation are first approximated by ... accuracy of the spectral and pseudospectral methods for the Burgers equation.
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71
A semi-discrete modified KdV equation - AIP Publishing
https://aip.scitation.org/doi/abs/10.1063/1.5032092
Y. Zhang, X. B. Hu, and H. W. Tam, “Integrable discretization of nonlinear Schrödinger equation and its application with Fourier pseudo-spectral method,” ...
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https://aip.scitation.org/doi/abs/10.1063/1.5032092
Y. Zhang, X. B. Hu, and H. W. Tam, “Integrable discretization of nonlinear Schrödinger equation and its application with Fourier pseudo-spectral method,” ...
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72
A Pseudospectral Method for the One-Dimensional Fractional ...
https://deepai.org/publication/a-pseudospectral-method-for-the-one-dimensional-fractional-laplacian-on-r
In this paper, we propose a novel pseudospectral method to ... A pseudo-spectral method for a non-local KdV-Burgers equation posed on R, ...
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https://deepai.org/publication/a-pseudospectral-method-for-the-one-dimensional-fractional-laplacian-on-r
In this paper, we propose a novel pseudospectral method to ... A pseudo-spectral method for a non-local KdV-Burgers equation posed on R, ...
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73
Practical notes on selected numerical methods with examples
https://www.ioc.ee/~dima/publications/r312_15.pdf
(I) Practical application of pseudospectral method and visualizing the ... evolution equations, like KdV (Korteweg de Vries) equation).
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https://www.ioc.ee/~dima/publications/r312_15.pdf
(I) Practical application of pseudospectral method and visualizing the ... evolution equations, like KdV (Korteweg de Vries) equation).
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74
Solving The Modified Ostrovsky Equation using Pseudo ...
https://www.ripublication.com/ijaer17/ijaerv12n24_255.pdf
solved this equation using Pseudo-Spectral Method by implementing the dealiasing and ... fact that nonlinear waves especially Korteweg-de Vries (KdV).
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https://www.ripublication.com/ijaer17/ijaerv12n24_255.pdf
solved this equation using Pseudo-Spectral Method by implementing the dealiasing and ... fact that nonlinear waves especially Korteweg-de Vries (KdV).
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75
Integrable discretization of 'time' and its application on the Fourier ...
https://scholars.hkbu.edu.hk/en/publications/integrable-discretization-of-time-and-its-application-on-the-four
By applying the Fourier pseudospectral method to the space variable, we derive a new numerical scheme for the KdV equation. Numerical results are found to ...
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https://scholars.hkbu.edu.hk/en/publications/integrable-discretization-of-time-and-its-application-on-the-four
By applying the Fourier pseudospectral method to the space variable, we derive a new numerical scheme for the KdV equation. Numerical results are found to ...
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76
Mid-Point Euler Method in Pseudospectral Approximation for ...
https://scialert.net/abstract/?doi=jas.2002.1007.1010
The fourier pseudo-spectral method with restraint operator for KDV equation. J. Comput. Phys., 65: 120-137. Kreiss, H.O. and J. Oliger, 1979.
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https://scialert.net/abstract/?doi=jas.2002.1007.1010
The fourier pseudo-spectral method with restraint operator for KDV equation. J. Comput. Phys., 65: 120-137. Kreiss, H.O. and J. Oliger, 1979.
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77
Mecánica Computacional - Cimec
https://cimec.org.ar/ojs/index.php/mc/article/view/3949
A Numerical Study for Improving Time Step Methods in Psudospectral Schemes ... In the present work a pseudospectral method was implemented for the KdV ...
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https://cimec.org.ar/ojs/index.php/mc/article/view/3949
A Numerical Study for Improving Time Step Methods in Psudospectral Schemes ... In the present work a pseudospectral method was implemented for the KdV ...
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78
A new exponential Jacobi pseudospectral method for solving ...
https://advancesindifferenceequations.springeropen.com/articles/10.1186/s13662-015-0491-x
This exponential Jacobi pseudospectral method is implemented to ... polynomials for solving the time-fractional coupled KdV equation.
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https://advancesindifferenceequations.springeropen.com/articles/10.1186/s13662-015-0491-x
This exponential Jacobi pseudospectral method is implemented to ... polynomials for solving the time-fractional coupled KdV equation.
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79
Fully decoupled schemes for the coupled Schrödinger-KdV ...
https://www.aimsciences.org/article/doi/10.3934/dcdsb.2019069
Schrödinger-KdV equation,; splitting method,; Hamiltonian system,; discrete gradient method,; structure-preserving algorithm. Mathematics Subject Classification ...
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https://www.aimsciences.org/article/doi/10.3934/dcdsb.2019069
Schrödinger-KdV equation,; splitting method,; Hamiltonian system,; discrete gradient method,; structure-preserving algorithm. Mathematics Subject Classification ...
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80
Analytical and Numerical Investigations of the Kudryashov ...
https://stars.library.ucf.edu/cgi/viewcontent.cgi?article=7606&context=etd
KG KdV equation are derived using the tanh method. A pseudospectral integrator, which can handle stiff equations, is developed for the higher order KdV ...
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https://stars.library.ucf.edu/cgi/viewcontent.cgi?article=7606&context=etd
KG KdV equation are derived using the tanh method. A pseudospectral integrator, which can handle stiff equations, is developed for the higher order KdV ...
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81
Publications -- Jie Shen - Purdue Math
https://www.math.purdue.edu/~shen7/publist.html
Spectral and High-Order Methods with Applications (by Jie Shen and Tao Tang, ... Auxiliary Variable/Lagrange multiplier based pseudospectral schemes for the ...
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https://www.math.purdue.edu/~shen7/publist.html
Spectral and High-Order Methods with Applications (by Jie Shen and Tao Tang, ... Auxiliary Variable/Lagrange multiplier based pseudospectral schemes for the ...
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82
Interactions and stability of solitary waves in shallow water
http://econ.uop.gr/~etzirtzilakis/Papers/TXMB.pdf
In order to examine the accuracy and efficiency of the pseudospectral method we will use in this paper, we apply it first to the KdV equation.
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http://econ.uop.gr/~etzirtzilakis/Papers/TXMB.pdf
In order to examine the accuracy and efficiency of the pseudospectral method we will use in this paper, we apply it first to the KdV equation.
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83
Journal of Mathematical Research with Applications
http://dx.doi.org/10.3770/j.issn:2095-2651.2015.05.008
The multi-symplectic geometry and multi-symplectic Fourier pseudospectral method for the Zhiber-Shabat equation is presented. The numerical ...
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http://dx.doi.org/10.3770/j.issn:2095-2651.2015.05.008
The multi-symplectic geometry and multi-symplectic Fourier pseudospectral method for the Zhiber-Shabat equation is presented. The numerical ...
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84
spectral solution to 1D KdV equation - MATLAB Answers
https://www.mathworks.com/matlabcentral/answers/557683-spectral-solution-to-1d-kdv-equation
... to solve the solution of a 1D KdV equation (ut+uux+uxxx=0) starting from a two solitons initial condition using Fourier spectral method.
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https://www.mathworks.com/matlabcentral/answers/557683-spectral-solution-to-1d-kdv-equation
... to solve the solution of a 1D KdV equation (ut+uux+uxxx=0) starting from a two solitons initial condition using Fourier spectral method.
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85
Spectral Methods for Differential Problems
https://ictp.acad.ro/gheorghiu/spectral.pdf
2.4 Collocation spectral methods (pseudospectral) . ... 3.7 Numerical solution for KdV equation by Fourier pseudospectral method, N=160 .
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https://ictp.acad.ro/gheorghiu/spectral.pdf
2.4 Collocation spectral methods (pseudospectral) . ... 3.7 Numerical solution for KdV equation by Fourier pseudospectral method, N=160 .
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86
A PSEUDOSPECTRAL METHOD FOR SOLVING THE TIME ...
http://repository.msa.edu.eg/xmlui/handle/123456789/1675
Keywords: October University for Generalized Hirota-Satsuma coupled KdV system , spectral colocation method , fractional Caputo derivative , operational ...
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http://repository.msa.edu.eg/xmlui/handle/123456789/1675
Keywords: October University for Generalized Hirota-Satsuma coupled KdV system , spectral colocation method , fractional Caputo derivative , operational ...
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87
D. Dutykh, M. Chhay, F. Fedele, “Geometric numerical ...
http://www.mathnet.ru/eng/zvmmf9784
Geometric numerical schemes for the KdV equation ... robust and accurate as Fourier-type pseudospectral methods for computing the long-time KdV dynamics, ...
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http://www.mathnet.ru/eng/zvmmf9784
Geometric numerical schemes for the KdV equation ... robust and accurate as Fourier-type pseudospectral methods for computing the long-time KdV dynamics, ...
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88
Bivariate pseudospectral collocation algorithms for nonlinear ...
https://ukzn-dspace.ukzn.ac.za/bitstream/handle/10413/14482/Magagula_Vusi_Mpendulo_2016.pdf?sequence=1&isAllowed=y
5 A comparison of bivariate pseudo spectral methods for nonlinear systems of par- ... 2.6 Approximate and Exact solutions of the modified KdV equation.
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https://ukzn-dspace.ukzn.ac.za/bitstream/handle/10413/14482/Magagula_Vusi_Mpendulo_2016.pdf?sequence=1&isAllowed=y
5 A comparison of bivariate pseudo spectral methods for nonlinear systems of par- ... 2.6 Approximate and Exact solutions of the modified KdV equation.
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89
A pseudo-spectral method for a non-local ... - 中国地质图书馆
http://www.cgl.org.cn/auto/db/detail.aspx?db=706211&rid=221208&agfi=0&cls=0&uni=True&cid=0&gp=8&showgp=True&prec=False&md=93&pd=6&msd=93&psd=6&mdd=93&pdd=6&count=10&reds=polynomial%3Btransform%3Bfourier%3Blocal
In this paper, we present a new pseudo-spectral method to solve the initial value problem associated to a non-local KdV–Burgers equation involving a ...
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http://www.cgl.org.cn/auto/db/detail.aspx?db=706211&rid=221208&agfi=0&cls=0&uni=True&cid=0&gp=8&showgp=True&prec=False&md=93&pd=6&msd=93&psd=6&mdd=93&pdd=6&count=10&reds=polynomial%3Btransform%3Bfourier%3Blocal
In this paper, we present a new pseudo-spectral method to solve the initial value problem associated to a non-local KdV–Burgers equation involving a ...
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90
Numerical Investigation of Separated Solitary Waves Solution ...
https://www.ijcaonline.org/archives/volume40/number14/5049-7463
Darvishi, M. T.; Kheybari, S.; Khani, F. (2007), A Numerical Solution of the Lax's 7th-order KdV Equation by Pseudospectral Method and Darvishi's ...
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https://www.ijcaonline.org/archives/volume40/number14/5049-7463
Darvishi, M. T.; Kheybari, S.; Khani, F. (2007), A Numerical Solution of the Lax's 7th-order KdV Equation by Pseudospectral Method and Darvishi's ...
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91
MODELING OF THE ORIGIN AND INTERACTION OF ...
https://repository.aust.edu.ng/xmlui/bitstream/handle/123456789/5066/Ningang%20Julius%20Mbuitoh.pdf?sequence=1&isAllowed=y
... analytical solution for the (2+4) KdV-like equation which mimics such situations and numerically solved it using the pseudospectral methods due to its.
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https://repository.aust.edu.ng/xmlui/bitstream/handle/123456789/5066/Ningang%20Julius%20Mbuitoh.pdf?sequence=1&isAllowed=y
... analytical solution for the (2+4) KdV-like equation which mimics such situations and numerically solved it using the pseudospectral methods due to its.
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92
Fourier Spectral Methods For Solving The
https://www.collectionscanada.gc.ca/obj/s4/f2/dsk2/ftp03/MQ51284.pdf
5.3 Fourier Based RK1 Method for KdV Equation . ... lui literature, the term spectral collocation methods and pseudospectral methods are often used.
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https://www.collectionscanada.gc.ca/obj/s4/f2/dsk2/ftp03/MQ51284.pdf
5.3 Fourier Based RK1 Method for KdV Equation . ... lui literature, the term spectral collocation methods and pseudospectral methods are often used.
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93
Symplectic Multiquadric Quasi-interpolation Approximations of ...
http://www.doiserbia.nb.rs/ft.aspx?id=0354-51801815161Z
Multiquadric quasi-interpolations; KdV equation; Meshless method; ... Fourier pseudospectral method by [19] and wavelet collocation method by [30].
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http://www.doiserbia.nb.rs/ft.aspx?id=0354-51801815161Z
Multiquadric quasi-interpolations; KdV equation; Meshless method; ... Fourier pseudospectral method by [19] and wavelet collocation method by [30].
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94
High accuracy numerical methods for the Gardner–Ostrovsky ...
https://daneshyari.com/article/preview/4627395.pdf
methods traditionally used for the solution of the KdV equation fails to ... being both much simpler than the intricate energy conservation pseudospectral.
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https://daneshyari.com/article/preview/4627395.pdf
methods traditionally used for the solution of the KdV equation fails to ... being both much simpler than the intricate energy conservation pseudospectral.
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95
numerical calculation of conservation laws in
http://venus.santafe-conicet.gov.ar/ojs/index.php/mc/article/viewFile/3164/3091
Keywords: Solitons, KdV Equation, Integrable Systems, Nonlinear Waves, ... pseudospectral method in the spatial domain and a Runge Kutta scheme of fourth ...
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http://venus.santafe-conicet.gov.ar/ojs/index.php/mc/article/viewFile/3164/3091
Keywords: Solitons, KdV Equation, Integrable Systems, Nonlinear Waves, ... pseudospectral method in the spatial domain and a Runge Kutta scheme of fourth ...
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