Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1705094 | Applied Mathematical Modelling | 2012 | 8 Pages |
Abstract
In this paper, we study the initial-boundary value problem of the usual Rosenau-RLW equation by finite difference method. We design a conservative numerical scheme which preserves the original conservative properties for the equation. The scheme is three-level and linear-implicit. The unique solvability of numerical solutions has been shown. Priori estimate and second order convergence of the finite difference approximate solutions are discussed by discrete energy method. Numerical results demonstrate that the scheme is efficient and accurate.
Related Topics
Physical Sciences and Engineering
Engineering
Computational Mechanics
Authors
Xintian Pan, Luming Zhang,