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

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.