Convergence analysis of three-level Fourier pseudospectral method for Korteweg-de Vries Burgers equation

DOI10.1016/j.camwa.2006.10.014zbMath1125.65346OpenAlexW1969405729MaRDI QIDQ2458552

Abdur Rashid

Publication date: 1 November 2007

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2006.10.014

zbMATH Keywords

stabilityconvergencenumerical resultsfinite difference methodpseudospectral methodKorteweg-de Vries Burgers equationperiodic initial boundary value problem

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) 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 (1)

On strongly interacting internal waves in a rotating ocean and coupled Ostrovsky equations

Cites Work

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• Weakly damped forced Korteweg-de Vries equations behave as a finite dimensional dynamical system in the long time
• The Korteweg-de Vries-Burgers equation
• The Chebyshev spectral method with a restraint operator for Burgers equation
• A quintic B-spline finite elements scheme for the KdVB equation
• The initial-value problem for the Korteweg-de Vries equation
• Spectral Methods and Their Applications
• Korteweg-de Vries Equation and Generalizations. III. Derivation of the Korteweg-de Vries Equation and Burgers Equation
• Long Waves on Liquid Films

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