A new finite difference scheme for generalized Rosenau–Burgers equation

摘要

In this paper, the numerical solution of the initial-boundary value problem of generalized Rosenau–Burgers equation is considered. A new linear implicit finite difference scheme of two-level is proposed. And the prior estimate of the finite difference solution is obtained. The unique solvability of numerical solutions has been shown. It is proved that the finite difference scheme is convergent and stable. Numerical experiments indicate the method is efficient.