A Linear Difference Scheme for Dissipative Symmetric Regularized Long Wave Equations with Damping Term. (30th November 2010)

• Record Type: Journal Article
• Authors: Hu Hu, Jinsong Jinsong; Xu Xu, Youcai Youcai; Hu Hu, Bing Bing
• Other Names: Shakhmurov Shakhmurov V. V. Academic Editor.
• Is Part Of: Boundary value problems. Volume 2010(2010)
• Publication Date: 2010-11-30
• Subjects: Boundary value problems -- Periodicals; Boundary value problems; Electronic journals; Periodicals; 515.35
• DOI: 10.1155/2010/781750
• Languages: English
• ISSNs: 1687-2762

Abstract

Abstract : We study the initial-boundary problem of dissipative symmetric regularized long wave equations with damping term by finite difference method. A linear three-level implicit finite difference scheme is designed. Existence and uniqueness of numerical solutions are derived. It is proved that the finite difference scheme is of second-order convergence and unconditionally stable by the discrete energy method. Numerical simulations verify that the method is accurate and efficient.