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arXiv · 1509.04546

A linearly implicit conservative difference scheme for the generalized Rosenau-Kawahara-RLW equation

Dongdong He·Kejia Pan
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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.

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Dongdong He, Kejia Pan. 2015-09-15. A linearly implicit conservative difference scheme for the generalized Rosenau-Kawahara-RLW equation. https://arxiv.org/abs/1509.04546

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