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

نویسندگان

  • Jinsong Hu
  • Youcai Xu
  • Bing Hu
چکیده

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.

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تاریخ انتشار 2010