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

Jinsong Hu, Bing Hu and Youcai Xu

Mathematical Problems in Engineering, 2011, vol. 2011, 1-16

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.

Date: 2011
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:651642

DOI: 10.1155/2011/651642

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