Journal
APPLIED MATHEMATICAL MODELLING
Volume 36, Issue 8, Pages 3371-3378Publisher
ELSEVIER SCIENCE INC
DOI: 10.1016/j.apm.2011.08.022
Keywords
Rosenau-RLW equation; Finite difference method; Solvability; Convergence; Stability
Funding
- NSF of China [10471023]
- Youth Research Foundation of WFU [2011Z17]
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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. (C) 2011 Elsevier Inc. All rights reserved.
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