A decoupled linearized difference scheme for the SRLW equation with damping term

Abstract:

In this paper, a numerical method for the initial-boundary value problem of the dissipative SRLW equation with damping term is considered. A three-level uncoupled linearized difference scheme with second order accuracy is introduced. Though the maximum modulus estimation of the difference solution fails to be obtained, we still prove the convergence and stability of the numerical solution directly by the inductive method and discrete functional analysis. Finally, the efficiency of the method is demonstrated by numerical examples.