Open Access Research Article

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

Jinsong Hu1, Youcai Xu2* and Bing Hu2

Author Affiliations

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

2 School of Mathematics, Sichuan University, Chengdu 610064, China

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Boundary Value Problems 2010, 2010:781750  doi:10.1155/2010/781750

Published: 30 November 2010

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.