| Alternating segment explicit-implicit scheme for nonlinear third-order KdV equation |
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| 作者姓名： | 曲富丽 王文洽 |
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| 作者单位： | Accounting Department Women's Academy at Shandong，School of Mathematics and System Science，Shandong University，Jinan 250300，P.R.China，Jinan 250100，P.R.China |
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| 基金项目： | 国家自然科学基金;山东省自然科学基金 |
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| 摘 要： | A group of asymmetric difference schemes to approach the Korteweg-de Vries(KdV)equation is given here.According to such schemes,the full explicit difference scheme and the fun implicit one,an alternating segment explicit-implicit difference scheme for solving the KdV equation is constructed.The scheme is linear unconditionally stable by the analysis of linearization procedure,and is used directly on the parallel computer. The numerical experiments show that the method has high accuracy.
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| 关 键 词： | 非线性方程 线性方程式 因子代数 解题方法 |
| 收稿时间： | 24 February 2006 |
| 修稿时间： | 2006-02-242007-04-16 |
Alternating segment explicit-implicit scheme for nonlinear third-order KdV equation |
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| Qu?Fu-li,Wang?Wen-qia.Alternating segment explicit-implicit scheme for nonlinear third-order KdV equation[J].Applied Mathematics and Mechanics(English Edition),2007,28(7):973-980. |
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| Authors: | Qu Fu-li Wang Wen-qia |
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| Institution: | 1. Accounting Department, Women's Academy at Shandong, Jinan 250300, P. R. China
2. School of Mathematics and System Science, Shandong University, Jinan 250100, P. R. China |
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| Abstract: | A group of asymmetric difference schemes to approach the Korteweg-de Vries(KdV)equation is given here.According to such schemes,the full explicit difference scheme and the fun implicit one,an alternating segment explicit-implicit difference scheme for solving the KdV equation is constructed.The scheme is linear unconditionally stable by the analysis of linearization procedure,and is used directly on the parallel computer. The numerical experiments show that the method has high accuracy. |
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| Keywords: | KdV equation intrinsic parallelism alternating segment explicit-implicit difference scheme unconditionally linear stable |
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