| 一类DGH方程新多辛Fourier拟谱方法 |
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| 引用本文： | 戴红兵,王俊杰,蔡姗姗,后圆圆.一类DGH方程新多辛Fourier拟谱方法[J].兰州理工大学学报,2020,46(1):162. |
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| 作者姓名： | 戴红兵 王俊杰 蔡姗姗 后圆圆 |
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| 作者单位： | 普洱学院 数学与统计学院, 云南 普洱 665000 |
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| 基金项目： | 云南省科学研究基金(2015Y490) |
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| 摘 要： | 基于Hamilton空间体系的多辛理论研究了DGH方程的数值解法,利用Fourier拟谱方法构造了DGH方程的多辛格式,该格式满足多辛守恒律. 数值算例结果表明该多辛离散格式具有较好的长时间数值稳定性.
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| 关 键 词： | Hamiton系统 Fourier拟谱方法 多辛算法 DGH方程 |
| 收稿时间： | 2018-04-18 |
New multi-symplectic Fourier pseudospectral method for a class of DGH equation |
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| DAI Hong-bin,WANG Jun-jie,CAI Shan-shan,HOU Yuan-yuan.New multi-symplectic Fourier pseudospectral method for a class of DGH equation[J].Journal of Lanzhou University of Technology,2020,46(1):162. |
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| Authors: | DAI Hong-bin WANG Jun-jie CAI Shan-shan HOU Yuan-yuan |
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| Institution: | School of Mathematics and Statistics, Pu Er University,Pu Er, 665000, China |
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| Abstract: | A numerical solution method of DGH equation was studied based on multi-symplectic theory in Hamilton space system. The multi-symplectic format of DGH equation was constructed with Fourier pseudospectral method and this format met the multi-symplectic conservation law. It was shown by the result of a numeric computation example that this multi-symplectic discrete format would have a better numeric value stability for a long time. |
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| Keywords: | Hamilton system Fourier pseudospectral method multi-symplectic algorithm DGH equation |
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