Numerical analysis of a new conservative scheme for the 2D generalized Rosenau-RLW equation. Issue 12 (10th September 2021)

• Record Type: Journal Article
• Authors: Wang, Xiaofeng; Dai, Weizhong; Yan, Yun
• Is Part Of: Applicable analysis. Volume 100:Issue 12(2021)
• Page Start: 2564
• Page End: 2580
• Publication Date: 2021-09-10
• Subjects: Rosenau-RLW equation -- uniqueness -- convergence -- unconditional stability; 65M12 -- 65N06; Mathematical analysis -- Periodicals; 515
• DOI: 10.1080/00036811.2019.1692136
• Languages: English
• ISSNs: 0003-6811

Abstract

Abstract : In this paper, a conservative finite difference scheme to solve the generalized Rosenau-RLW equation in 2D is proposed. The proposed scheme is linear-implicit, mass-preserving, energy-preserving, uniquely solvable, unconditionally stable, and its numerical convergence is of second order in the l ∞ -norm. Results from numerical experiments are reported to demonstrate that the scheme is accurate, efficient and reliable.