A LINEAR FINITE DIFFERENCE SCHEME FOR THE GENERALIZED DISSIPATIVE SYMMETRIC REGULARIZED LONG WAVE EQUATION WITH DAMPING

In this paper, we study and analyze a three-level linear finite difference scheme for the initial boundary value problem of the symmetric regularized long wave equation with damping. The proposed scheme has the second accuracy both for the spatial and temporal discretization. The convergence and stability of the numerical solutions are proved by the mathematical induction and the discrete functional analysis. Numerical results are given to verb the accuracy and the efficiency of proposed algorithm.