Numerical Simulation of Generalized Symmetric Regularized Long-wave Equations with Damping Term

In this paper, we study a numerical simulation method for the initial-boundary problem of dissipative of the generalized symmetric regularized long-wave equations with damping term. A nonlinear-implicit Crank-Nicolson finite difference scheme is constructed. The scheme is a twoleveled scheme. The error estimations, convergence, stablity and uniqueness of the solution are proven by discrete energy normal method herein. The numerical simulations are carried out by using MATLAB7.1 to confirm the theoretical analyses. They are here shown that the numerical solutions are of 2-order convergence and unconditionally stable and the simulation technical of the paper represents a new approach and it is effective for other similar problems.