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 数值计算与计算机应用 2014, Vol. 35 Issue (4): 241-254    DOI:
 论文 最新目录 | 下期目录 | 过刊浏览 | 高级检索 |  Next Articles 1. 普洱学院 数学与统计学院, 云南普洱 665000;
2. 西北大学 数学系, 西安 710127
MULTI-SYMPLECTIC FOURIER PSEUDOSPECTRAL METHOD FOR A SECOND ORDER WAVE EQUATION OF KDV TYPE
Wang Junjie1, Wang Liantang2
1. Pu Er University, Mathematics and Statistical Institute, Pu'er 665000, Yunnan, China;
2. Northwest University, Mathematics Department, Xi'an 710127, China
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Abstract： A second order wave equation of KdV type, a important nonlinear wave equation, has broad application prospect. The equation was studied based on the multi-symplectic theory in Hamilton space. The multi-symplectic Fourier pseudospectral method is reviewed, and a semi-implicit scheme with certain discrete conservation laws is constructed to solve the second order wave equation of KdV type. The multi-symplectic scheme of the second order wave equation of KdV type with several conservation laws are presented. The numerical results for the second order wave equation of KdV type are reported, showing that the multi-symplectic Fourier pseudospectral method is an efficient algorithm with excellent long-time numerical behaviors.

 引用本文: . 一类二次KdV类型水波方程的多辛Fourier拟谱方法[J]. 数值计算与计算机应用, 2014, 35(4): 241-254. . MULTI-SYMPLECTIC FOURIER PSEUDOSPECTRAL METHOD FOR A SECOND ORDER WAVE EQUATION OF KDV TYPE[J]. Journal of Numerical Methods and Computer Applicat, 2014, 35(4): 241-254.

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