Numerical scheme based on similarity reductions for the regularized long wave equation

DOI10.1080/00207160412331272135zbMath1063.65086OpenAlexW1996168684MaRDI QIDQ4652748

Ahmed A. Soliman

Publication date: 28 February 2005

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160412331272135

zbMATH Keywords

numerical resultsRLW equationregularized long wave equationsimilarity reductions

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Higher-order nonlinear hyperbolic equations (35L75)

Related Items

Numerical solution for the KdV equation based on similarity reductions, A new energy conservative scheme for regularized long wave equation., Exact traveling wave solution of nonlinear variants of the RLW and the PHI-four equations, Error function scheme for Burgers' equation, Numerical simulation of the generalized regularized long wave equation by He's variational iteration method

Cites Work

• Numerical schemes for a model for nonlinear dispersive waves
• Numerical study of the regularized long-wave equation. II: Interaction of solitary waves
• Galerkin methods applied to some model equations for non-linear dispersive waves
• Solitary waves of the regularised long-wave equation
• Collocation method using quadratic B-spline for the RLW equation
• New similarity reductions of the Boussinesq equation
• A least-squares finite element scheme for the RLW equation