期刊
APPLIED NUMERICAL MATHEMATICS
卷 154, 期 -, 页码 90-103出版社
ELSEVIER
DOI: 10.1016/j.apnum.2020.03.022
关键词
SRLW equation with damping mechanism; Finite difference method; Fourier pseudo-spectral; Energy dissipation property; Convergence analysis
资金
- National Natural Science Foundation of China [11571181]
In this paper, an energy stable time-stepping method using the finite difference approximation in time and Fourier pseudo-spectral method in space is developed for the symmetric regularized long wave equation with damping mechanism. Based upon a careful treatment of nonlinear term, the suggested numerical scheme is proved to preserve energy dissipation at discrete time levels. The energy stable property implies the priori estimates of the numerical solution. The maximum norm error estimate shows that the proposed numerical scheme is of second-order accuracy in time and spectral accuracy in space. Several numerical experiments are presented to show the effectiveness of our numerical method and to confirm our theoretical analysis. (C) 2020 IMACS. Published by Elsevier B.V. All rights reserved.
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