A linearly implicit conservative difference scheme for the generalized Rosenau-Kawahara-RLW equation
Numerical Analysis
2015-09-16 v1
Abstract
This paper concerns the numerical study for the generalized Rosenau-Kawahara-RLW equation obtained by coupling the generalized Rosenau-RLW equation and the generalized Rosenau-Kawahara equation. We first derive the energy conservation law of the equation, and then develop a three-level linearly implicit difference scheme for solving the equation. We prove that the proposed scheme is energy-conserved, unconditionally stable and second-order accurate both in time and space variables. Finally, numerical experiments are carried out to confirm the energy conservation, the convergence rates of the scheme and effectiveness for long-time simulation.
Cite
@article{arxiv.1509.04546,
title = {A linearly implicit conservative difference scheme for the generalized Rosenau-Kawahara-RLW equation},
author = {Dongdong He and Kejia Pan},
journal= {arXiv preprint arXiv:1509.04546},
year = {2015}
}
Comments
accepted in Applied Mathmatics and Computations