A reliable approach to the Korteweg‐de Vries equation.

DOI10.1108/03684920510605777zbMath1117.65358OpenAlexW1538783765MaRDI QIDQ5695201

Mustafa Inc, Yves Cherruault

Publication date: 11 October 2005

Published in: Kybernetes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1108/03684920510605777

zbMATH Keywords

convergencenumerical examplesAdomian decomposition methodKorteweg-de Vries equations

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) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)

Related Items (5)

The decomposition method for linear, one-dimensional, time-dependent partial differential equations ⋮ Eventual periodicity of forced oscillations of the Korteweg-de Vries type equation ⋮ A reliable technique for solving third‐order dispersion equations ⋮ An application of the modified decomposition method for the solution of the coupled Klein-Gordon-Schrödinger equation ⋮ Modification of quintic B-spline differential quadrature method to nonlinear Korteweg-de Vries equation and numerical experiments

Cites Work

• A review of the decomposition method in applied mathematics
• Noise terms in decomposition solution series
• Numerical study of Fisher's equation by Adomian's method
• Necessary conditions for the appearance of noise terms in decomposition solution series
• The decomposition method for approximate solution of the Goursat problem
• A new approach to the nonlinear advection problem: An application of the decomposition method
• Convergence of Adomian's Method and Applications to Non‐linear Partial Differential Equations
• An application of the decomposition method for second order wave equations
• New numerical study of Adomian method applied to a diffusion model
• A new approach to solve a diffusion‐convection problem
• Explicit solutions of generalized nonlinear Boussinesq equations
• An explicit solution of coupled viscous Burgers' equation by the decomposition method

This page was built for publication: A reliable approach to the Korteweg‐de Vries equation.