A linearized difference method for generalized SRLW equation with damping term

Abstract:

In this paper, numerical solution of the initial-boundary value problem for the dissipative generalized SRLW equation with damping term is considered. A three-level linearized difference scheme with second order accuracy is proposed. It is proved that the difference scheme is convergent and stable by using the mathematical induction and the discrete function analysis. Efficiency of the method is demonstrated by some numerical examples.