A Finite Difference Simulation for Rosenau-Burgers Equation

In this paper, we propose a linear finite difference scheme for the initial-boundary problem of Rosenau-Burgers equation. We not only discuss solvability, stability and convergence of the scheme in detail, but also prove that the numerical solution of the scheme converges to the exact solution of the original problem in the sense of ¿·¿_¿-norm. At last, a numerical example, which compares results between the linear scheme and that in paper by Bing Hu (Appl. Math. Comp. 204 (2008) 311-316), shows that the method in this paper is efficient and more accurate.