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

Dongdong He and Kejia Pan

Applied Mathematics and Computation, 2015, vol. 271, issue C, 323-336

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.

Keywords: Rosenau–Kawahara-RLW equation; Finite difference conservative scheme; Convergence; Stability (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:271:y:2015:i:c:p:323-336

DOI: 10.1016/j.amc.2015.09.021

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