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

الملخص EN

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.