A Crank-Nicolson Difference Scheme for Generalized Rosenau Equation |
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| Authors: | HU Jin-song WANG Yu-lan XU You-cai |
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| Affiliation: | 1. School of Mathematics and Computer Engineering,Xihua University,Chengdu 610039,China
2. School of Mathematics,Sichuan University,Chengdu 610064,China |
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| Abstract: | Much effort has been devoted to researching the common Rosenau equation,but the numerical method of it has not been studied.In this paper,a conservative Crank-Nicolson difference scheme for an initial-boundary value problem of the generalized Rosenau equation is proposed.Existence and uniqueness of numerical solutions are derived.By method of discrete energy,the second order convergence and stability are discussed.Numerical examples demonstrate the theoretical results. |
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| Keywords: | Generalized Rosenau equation Difference scheme Conservative rule Convergence Stability |
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