A comparative study of numerical solutions of a class of KdV equation

DOI10.1016/j.amc.2007.10.002zbMath1143.65078OpenAlexW2016041196MaRDI QIDQ928061

Ahmad Jan Khattak, Siraj-ul-islam

Publication date: 11 June 2008

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2007.10.002

zbMATH Keywords

collocation methodcomparison of methodsnumerical examplessolitonsGaussian radial basis functionsmultiquadratic radial basis functions

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Soliton equations (35Q51) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)

Related Items (8)

A computational modeling of the behavior of the two-dimensional reaction-diffusion Brusselator system ⋮ A meshfree interpolation method for the numerical solution of the coupled nonlinear partial differential equations ⋮ Application of meshfree collocation method to a class of nonlinear partial differential equations ⋮ A computational meshless method for the generalized Burger's-Huxley equation ⋮ Two-dimensional contaminant transport modeling using meshfree point collocation method (PCM) ⋮ A Computational Meshfree Technique for the Numerical Solution of the Two-Dimensional Coupled Burgers' Equations ⋮ Numerical solutions of Korteweg-de Vries and Korteweg-de Vries-Burger's equations in a Bernstein polynomial basis ⋮ Numerical solution of a coupled modified Korteweg–de Vries equation by the Galerkin method using quadratic B-splines

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