Central finite difference schemes for nonlinear dispersive waves

DOI10.1016/0898-1221(90)90133-5zbMath0728.65095OpenAlexW1969625037MaRDI QIDQ805186

Ali B. Shamardan

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1016/0898-1221(90)90133-5

zbMATH Keywords

stabilitynumerical examplesKorteweg-de Vries equationnonlinear dispersive wavescentral difference approximationthree-level time scheme

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) Applications to the sciences (65Z05)

Related Items (4)

Discrete conservation laws and the convergence of long time simulations of the mKdV equation ⋮ Wave motion in relaxation-testing of nonlinear elastic media ⋮ A simple and robust boundary treatment for the forced Korteweg-de Vries equation ⋮ Operator splitting methods for generalized Korteweg-de Vries equations

Cites Work

• Petrov-Galerkin methods for nonlinear dispersive waves
• A Hopscotch method for the Korteweg-de-Vries equation
• Galerkin methods applied to some model equations for non-linear dispersive waves
• Interaction of "Solitons" in a Collisionless Plasma and the Recurrence of Initial States
• Stability Analysis of Finite Difference Schemes for the Advection-Diffusion Equation
• Spline Petrov—Galerkin Methods for the Numerical Solution of the Korteweg—de Vries Equation
• On the Location of Zeros of Certain Classes of Polynomials with Applications to Numerical Analysis

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