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C-N Difference Schemes for Dissipative Symmetric Regularized Long Wave Equations with Damping Term

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  • Jinsong Hu
  • Bing Hu
  • Youcai Xu

Abstract

We study the initial-boundary problem of dissipative symmetric regularized long wave equations with damping term. Crank-Nicolson nonlinear-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 the theoretical analysis.

Suggested Citation

  • Jinsong Hu & Bing Hu & Youcai Xu, 2011. "C-N Difference Schemes for Dissipative Symmetric Regularized Long Wave Equations with Damping Term," Mathematical Problems in Engineering, Hindawi, vol. 2011, pages 1-16, April.
    • Handle: RePEc:hin:jnlmpe:651642
    DOI: 10.1155/2011/651642
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