| Multisymplectic Euler Box Scheme for the KdV Equation |
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| 作者姓名： | 王雨顺 王斌 陈新 |
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| 作者单位： | [1]School of Mathematics and Computer Sciences, Nanjing Normal University, Nanjing 210097 [2]Institute of Atmospheric Physics, Chinese Academy of Sciences, Beijing 100029 |
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| 基金项目： | Supported by the National Baslc Research Programme under Grant No 2005CB321703, and the National Natural Science Foundation of China under Grant Nos 40221503, 10471067 and 40405019. |
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| 摘 要： | We investigate the multisymplectic Euler box scheme for the Korteweg-de Vries （KdV） equation. A new completely explicit six-point scheme is derived. Numerical experiments of the new scheme with comparisons to the Zabusky-Kruskal scheme, the multisymplectic 12-point scheme, the narrow box scheme and the spectral method are made to show nice numerical stability and ability to preserve the integral invariant for long-time integration.
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| 关 键 词： | KdV方程 欧拉盒 对偶性 光谱 |
| 修稿时间： | 2006-10-17 |
Multisymplectic Euler Box Scheme for the KdV Equation |
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| WANG Yu-Shun,WANG Bin,CHEN Xin.Multisymplectic Euler Box Scheme for the KdV Equation[J].Chinese Physics Letters,2007,24(2):312-314. |
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| Authors: | WANG Yu-Shun WANG Bin CHEN Xin |
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| Affiliation: | 1School of Mathematics and Computer Sciences, Nanjing Normal University, Nanjing 210097 2Institute of Atmospheric Physics, Chinese Academy of Sciences, Beijing 100029 |
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| Abstract: | We investigate the multisymplectic Euler box scheme for the Korteweg--de Vries (KdV) equation. A new completely explicit six-point scheme is derived. Numerical experiments of the new scheme with comparisons to the Zabusky- Kruskal scheme, the multisymplectic 12-point scheme, the narrow box scheme and the spectral method are made to show nice numerical stability and ability to preserve the integral invariant for long-time integration. |
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| Keywords: | 02 60 Cb 02 70 Bf 45 10 Na 45 20 Dh |
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