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A Crank-Nicolson Difference Scheme for Generalized Rosenau Equation 被引量：1

A Crank-Nicolson Difference Scheme for Generalized Rosenau Equation
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摘要 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. 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.
作者 胡劲松 王玉兰 徐友才
机构地区 School of Mathematics and Computer Engineering School of Mathematics
出处 《Journal of Southwest Jiaotong University(English Edition)》 2010年第3期254-259,共6页 西南交通大学学报（英文版）
基金 The National Natural Science Foundation of China (No.40701014) the Scientific Research Fund of Sichuan Provincial Education Department (No.09ZB081) the Research Fund of key Discipline of Xihua University:Applied Mathe-matics (No.XZD0910-09-1)
关键词 Generalized Rosenau equation Difference scheme Conservative rule CONVERGENCE Stability Generalized Rosenau equation Difference scheme Conservative rule Convergence Stability
分类号 O175.8 [理学—基础数学]
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Journal of Southwest Jiaotong University(English Edition)
2010年 第3期

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