A computational method for the equal width equation

DOI10.1080/00207160310001614963zbMath1047.65086OpenAlexW2149089017MaRDI QIDQ4464300

Kamal R. Raslan

Publication date: 27 May 2004

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

Full work available at URL: https://doi.org/10.1080/00207160310001614963

zbMATH Keywords

algorithmcollocation methodfinite difference methodsplinesolitonsfinite element methodsRunge-Kutta methodequal width equation

Mathematics Subject Classification ID

Solitary waves for incompressible inviscid fluids (76B25) Finite element methods applied to problems in fluid mechanics (76M10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Soliton equations (35Q51) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20) Finite difference and finite volume methods for ordinary differential equations (65L12)

Related Items (11)

A fully implicit finite difference approach for numerical solution of the generalized equal width (GEW) equation ⋮ A Petrov-Galerkin method for solving the generalized equal width (GEW) equation ⋮ Numerical solutions of the equal width equation by trigonometric cubic B‐spline collocation method based on <scp>Rubin–Graves</scp> type linearization ⋮ An efficient local meshless method for the equal width equation in fluid mechanics ⋮ Highly accurate numerical scheme based on polynomial scaling functions for equal width equation ⋮ Solitary waves for the generalized equal width (GEW) equation ⋮ Soliton solution for nonlinear partial differential equations by cosine-function method ⋮ Solitary wave solutions of the modified equal width wave equation ⋮ A computational method for the regularized long wave (RLW) equation ⋮ A linearized implicit finite-difference method for solving the equal width wave equation ⋮ A numerical solution of the equal width wave equation by a lumped Galerkin method

Cites Work

• Solitary waves of the equal width wave equation
• A least-squares finite element scheme for the EW equation
• Solitary waves of the regularised long-wave equation
• Simulations of the EW undular bore
• Solitary waves induced by the boundary forced EW equation

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