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A combination of Lie group-based high order geometric integrator and delta-shaped basis functions for solving Korteweg–de Vries (KdV) equation - MaRDI portal

A combination of Lie group-based high order geometric integrator and delta-shaped basis functions for solving Korteweg–de Vries (KdV) equation (Q6199583)

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scientific article; zbMATH DE number 7822288

Language	Label	Description	Also known as
English	A combination of Lie group-based high order geometric integrator and delta-shaped basis functions for solving Korteweg–de Vries (KdV) equation	scientific article; zbMATH DE number 7822288

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scholarly article

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A combination of Lie group-based high order geometric integrator and delta-shaped basis functions for solving Korteweg–de Vries (KdV) equation (English)

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International Journal of Geometric Methods in Modern Physics

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publication date

21 March 2024

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zbMATH Keywords

delta-shaped basis functions

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group-preserving scheme

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geometric integrator

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KdV equation

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numerical solution

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1142/s0219887821502169

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The inverse scattering transform: tools for the nonlinear Fourier analysis and filtering of ocean surface waves.

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Method for Solving the Korteweg-deVries Equation

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A finite difference method for the Korteweg-de Vries and the Kadomtsev-Petviashvili equations

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A comparison between two different methods for solving KdV-Burgers equation

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A numerical solution of the Korteweg-de Vries equation by pseudospectral method using Darvishi's preconditionings

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An application for a modified KdV equation by the decomposition method and finite element method

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A numerical method for KdV equation using collocation and radial basis functions

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A meshfree method for numerical solution of KdV equation

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A meshless method of lines for the numerical solution of KdV equation using radial basis functions

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An effective application of differential quadrature method based onmodified cubic B-splines to numerical solutions of the KdV equation

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Numerical solutions of regularized long wave equation by Haar wavelet method

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Generalized Kudryashov method for time-fractional differential equations

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On the approximate solution of nonlinear time-fractional KdV equation via modified homotopy analysis Laplace transform method

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On the Infinite Order Limit of Hermite-based Finite Difference Schemes

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Two‐level linearized and local uncoupled difference schemes for the two‐component evolutionary Korteweg‐de Vries system

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Numerical simulation and solutions of the two‐component second order KdV evolutionarysystem

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A boundary method of Trefftz type for PDEs with scattered data

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A basis function for approximation and the solutions of partial differential equations

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A meshless method for one-dimensional Stefan problems

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Meshless collocation method by delta-shaped basis functions for default barrier model

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Numerical solution of the Schrödinger equations by using Delta-shaped basis functions

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Two meshless methods based on pseudo spectral delta-shaped basis functions and barycentric rational interpolation for numerical solution of modified Burgers equation

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Delta-shaped basis functions-pseudospectral method for numerical investigation of nonlinear generalized equal width equation in shallow water waves

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Numerical approximation of higher-order time-fractional telegraph equation by using a combination of a geometric approach and method of line

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Cone of non-linear dynamical system and group preserving schemes

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Group preserving scheme for backward heat conduction problems

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A Group Preserving Scheme for Burgers Equation with Very Large Reynolds Number

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An implicit Lie-group iterative scheme for solving the nonlinear Klein-Gordon and sine-Gordon equations

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The combination of meshless method based on radial basis functions with a geometric numerical integration method for solving partial differential equations: application to the heat equation

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The Lie-group method based on radial basis functions for solving nonlinear high dimensional generalized Benjamin-Bona-Mahony-Burgers equation in arbitrary domains

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Solving the Lane-Emden equation within a reproducing kernel method and group preserving scheme

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The Fourth-Order Group Preserving Methods for the Integrations of Ordinary Differential Equations

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Nonstandard Group-Preserving Schemes for Very Stiff Ordinary Differential Equations

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Preserving Constraints of Differential Equations by Numerical Methods Based on Integrating Factors

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Weak Nonlinear Dispersive Waves: A Discussion Centered Around the Korteweg–De Vries Equation

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Identifiers

10.1142/s0219887821502169

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:6199583

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