On the convergence of a conservative numerical scheme for the usual Rosenau-RLW equation |
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Authors: | Xintian Pan Luming Zhang |
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Affiliation: | 1. School of Mathematics and Information Science, Weifang University, Weifang 261061, China;2. Department of Mathematics, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China |
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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. |
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Keywords: | Rosenau-RLW equation Finite difference method Solvability Convergence Stability |
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