A conservative linear difference scheme for the 2D regularized long-wave equation

Xiaofeng Wang, Weizhong Dai and Shuangbing Guo

Applied Mathematics and Computation, 2019, vol. 342, issue C, 55-70

Abstract: In the present work, a three-level in time linear and conservative implicit finite difference scheme for solving the 2D regularized long-wave equation is proposed. The existence, uniqueness, and conservations for mass and energy of the numerical solution are proved by the discrete energy method. The new scheme is shown to be second-order convergent and unconditionally stable. Numerical examples are provided to show the present scheme to be efficient and reliable.

Keywords: RLW equation; Conservative scheme; Discrete energy method; Convergence; Unconditional stability (search for similar items in EconPapers)
Date: 2019
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Citations: View citations in EconPapers (4)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:342:y:2019:i:c:p:55-70

DOI: 10.1016/j.amc.2018.09.029

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