Conservative Difference Scheme for Generalized Rosenau-KdV Equation. (14th May 2014)

• Record Type: Journal Article
• Authors: Luo, Yan; Xu, Youcai; Feng, Minfu
• Other Names: Weder Ricardo Academic Editor.
• Is Part Of: Advances in mathematical physics. Volume 2014(2014)
• Publication Date: 2014-05-14
• Subjects: Mathematical physics -- Periodicals; Mathematical physics; Periodicals; 530.15
• DOI: 10.1155/2014/986098
• Languages: English
• ISSNs: 1687-9120

Abstract

Abstract : A conservative Crank-Nicolson finite difference scheme for the initial-boundary value problem of generalized Rosenau-KdV equation is proposed. The difference scheme shows a discrete analogue of the main conservation law associated to the equation. On the other hand the scheme is implicit and stable with second order convergence. Numerical experiments verify the theoretical results.