Abstract: In this paper, the numerical solution of initial-boundary value problem for generalized Rosenau-Kawahara-RLW equation with non-homogeneous boundary is considered. A nonlinear two-level difference scheme is designed. The difference schemes simulate two conservative quantities of the problem well and the priori esistence and uniqueness of the finite differential solutions were also obtained. It was proved that the finite differential scheme is convergent with second order and unconditional stable by discrete functional analysis method.