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C-N difference schemes for dissipative symmetric regularized long wave equations with damping term. (English) Zbl 1213.76125
Summary: 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.
MSC:
76M20Finite difference methods (fluid mechanics)