Article ID Journal Published Year Pages File Type
1705094 Applied Mathematical Modelling 2012 8 Pages PDF
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
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