A Linear Difference Scheme for Dissipative Symmetric Regularized Long Wave Equations with Damping Term
1 School of Mathematics and Computer Engineering, Xihua University, Chengdu 610039, China
2 School of Mathematics, Sichuan University, Chengdu 610064, China
Boundary Value Problems 2010, 2010:781750 doi:10.1155/2010/781750Published: 30 November 2010
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.