Copyright © 2011 Jinsong Hu et al. This is an open access article distributed under the
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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.