二维RLW方程的差分方法 |
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引用本文: | 蒋菊霞,郭宏旻.二维RLW方程的差分方法[J].新乡学院学报(自然科学版),2014(12):10-12. |
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作者姓名: | 蒋菊霞 郭宏旻 |
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作者单位: | 新乡学院数学与信息科学学院 |
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摘 要: | 给出了二维RLW方程的初边值问题的差分格式,并证明了该差分格式的解以L∞范数收敛到初边值问题的解,收敛阶为O(τ+h),并且得出二维RLW方程的该差分格式以L∞范数稳定。
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关 键 词: | 差分方法 二维RLW方程 误差估计 |
Difference Methods for the 2-dimention RLW Equation |
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Authors: | JIANG Juxia;GUO Hong |
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Institution: | JIANG Juxia;GUO Hongmin;School of Mathematics and Information Science,Xinxiang University; |
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Abstract: | This paper presents a difference scheme of initial boundary value problem for two-dimensional RLW equation.The solution converging to the initial-boundary value problem in L∞ norm was proved,and its convergence order is O(τ+h)The difference scheme of initial boundary value problem for two-dimensional RLW equation was proved stable in L∞. |
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Keywords: | difference method two-dimensional RLW equation error estimate |
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