Boundary Value Problems
Volume 2010 (2010), Article ID 781750, 16 pages
doi:10.1155/2010/781750
Research Article

A Linear Difference Scheme for Dissipative Symmetric Regularized Long Wave Equations with Damping Term

Jinsong Hu,1 Youcai Xu,2 and Bing Hu2

1School of Mathematics and Computer Engineering, Xihua University, Chengdu 610039, China
2School of Mathematics, Sichuan University, Chengdu 610064, China

Received 24 August 2010; Accepted 14 November 2010

Academic Editor: V. Shakhmurov

Copyright © 2010 Jinsong Hu et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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.