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Numerical analysis of a high-order accurate compact finite difference scheme for the SRLW equation

Yuyu He, Xiaofeng Wang, Hong Cheng and Yaqing Deng

Applied Mathematics and Computation, 2022, vol. 418, issue C

Abstract: In this paper, we develop a fourth-order accurate compact difference scheme for the symmetric regularized long wave (SRLW) equation for a single nonlinear velocity form. The discrete conservation, priori estimate, solvability, convergence and stability of the present scheme are proved by the discrete energy method. Numerical examples are given to support the theoretical analysis.

Keywords: SRLW equation; Single nonlinear velocity equation; Compact finite difference scheme; The discrete energy method; Convergence (search for similar items in EconPapers)
Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:418:y:2022:i:c:s0096300321009206

DOI: 10.1016/j.amc.2021.126837

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