期刊
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
卷 330, 期 -, 页码 295-306出版社
ELSEVIER
DOI: 10.1016/j.cam.2017.09.009
关键词
Rosenau-KdV-RLW equation; Conservative scheme; Discrete energy method; Unconditionally stable
资金
- National Natural Science Foundation of China [U1304106]
- Henan Province College Young Backbone Teachers' Project in China [2014GGJS-102]
A three-level linear conservative implicit finite difference scheme for solving the Rosenau-KdV-RLW equation is proposed. The existence, uniqueness, and conservation for energy of the difference solution are proved by the discrete energy method. The new scheme is 2nd-order convergent and unconditionally stable. Several numerical experiments verify that the theoretical results are accurate and the scheme is efficient and reliable. (C) 2017 Elsevier B.V. All rights reserved.
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