A \(2N\) order compact finite difference method for solving the generalized regularized long wave (GRLW) equation

DOI10.1016/j.amc.2014.12.070zbMath1339.65117OpenAlexW2045131021MaRDI QIDQ298835

D. A. Hammad, M. S. El-Azab

Publication date: 21 June 2016

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

Full work available at URL: https://doi.org/10.1016/j.amc.2014.12.070

zbMATH Keywords

solitary waves\(2N\) order compact finite difference methodgeneralized regularized long wave equation

Mathematics Subject Classification ID

Wave equation (35L05) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06)

Related Items (6)

Solution of the generalized regularized long-wave equation with optimal spline collocation technique and implicit Crank–Nicolson as well as explicit SSP-RK43 scheme ⋮ The conservative and fourth-order compact finite difference schemes for regularized long wave equation ⋮ Chebyshev-Chebyshev spectral collocation method for solving the generalized regularized long wave (GRLW) equation ⋮ Solitary-wave solutions of the GRLW equation using septic B-spline collocation method ⋮ Numerical analysis of a new conservative scheme for the 2D generalized Rosenau-RLW equation ⋮ Local momentum-preserving algorithms for the GRLW equation

Uses Software

• FDL3DI

Cites Work

• Unnamed Item
• Unnamed Item
• A Petrov-Galerkin method for solving the generalized regularized long wave (GRLW) equation
• Numerical solutions of RLW equation using Galerkin method with extrapolation techniques
• Numerical study of the modified regularized long wave (MRLW) equation
• Application of cubic B-splines for numerical solution of the RLW equation
• A sixth-order compact finite difference scheme to the numerical solutions of Burgers' equation
• Compact finite difference schemes with spectral-like resolution
• Solitary waves for power-law regularized long-wave equation and \(R(m,n)\) equation
• The use of Adomian decomposition method for solving the regularized long-wave equation
• A computational method for the regularized long wave (RLW) equation
• A compact finite difference method for the solution of the generalized Burgersâ Fisher equation
• Soliton Solutions of the Long-Short Wave Equation with Power Law Nonlinearity
• Model equations for long waves in nonlinear dispersive systems

This page was built for publication: A \(2N\) order compact finite difference method for solving the generalized regularized long wave (GRLW) equation