On the numerical solution of Korteweg-de Vries equation by the iterative splitting method

DOI10.1016/j.amc.2011.03.084zbMath1229.65181OpenAlexW2089019618MaRDI QIDQ648192

Nurcan Gücüyenen, Gamze Tanoglu

Publication date: 22 November 2011

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

Full work available at URL: https://doi.org/10.1016/j.amc.2011.03.084

zbMATH Keywords

stabilitynumerical resultsnonlinear wave equationKorteweg-de Vries (KdV) equationiterative splitting method

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 (4)

Differential quadrature method to examine the dynamical behavior of soliton solutions to the Korteweg-de Vries equation ⋮ Single soliton and double soliton solutions of the quadratic‐nonlinear Korteweg‐de Vries equation for small and long‐times ⋮ Modification of quintic B-spline differential quadrature method to nonlinear Korteweg-de Vries equation and numerical experiments ⋮ The analysis of operator splitting for the Gardner equation

Cites Work

• Iterative operator-splitting methods with higher-order time integration methods and applications for parabolic partial differential equations
• A modified iterated operator splitting method
• Operator splitting methods for generalized Korteweg-de Vries equations
• A new algorithm for calculating Adomian polynomials for nonlinear operators
• A particle method for the KdV equation
• Solitary-wave solutions for compound KdV-type and compound KdV--Burgers-type equations with nonlinear terms of any order
• On the solution of the nonlinear Kortewegâ de Vries equation by the homotopy perturbation method
• The inverse scattering transform: Semi-infinite interval
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