A three-level linear implicit conservative scheme for the Rosenau-KdV-RLW equation

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:330

Article

Wang, Xiaofeng¹  Dai, Weizhong^2,3 

[1] Henan Inst Sci & Technol, Dept Math, Xinxiang 453003, Henan, Peoples R China

[2] Louisiana Tech Univ, Coll Engn & Sci, Math & Stat, Ruston, LA 71272 USA

[3] Minnan Normal Univ, Sch Math & Stat, Zhangzhou 363000, Fujian, Peoples R China

关键词: Rosenau-KdV-RLW equation;    Conservative scheme;    Discrete energy method;    Unconditionally stable;   

DOI  :  10.1016/j.cam.2017.09.009

来源: Elsevier

【 摘 要 】

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.

【 授权许可】

Free