| MKdV方程的多辛Fourier拟谱方法 |
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| 引用本文： | 鞠瑞亮,马和平,张中强.MKdV方程的多辛Fourier拟谱方法[J].应用数学与计算数学学报,2009,23(1):81-86. |
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| 作者姓名： | 鞠瑞亮 马和平 张中强 |
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| 作者单位： | 上海大学理学院,上海,200444 |
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| 摘 要： | 基于谱微分矩阵方法，给出MKdV方程的多辛Fourier拟谱格式及其相应多辛离散守恒律，证明了它等价于通常的Fourier拟谱格式．数值结果表明，格式对于长时间计算具有稳定性与高精度．
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| 关 键 词： | 多辛 谱微分矩阵 Fourier拟谱 |
Multisymplectic Fourier Pseudospectral Methods for the MKdV Equation |
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| Ju Ruiliang,Ma Heping,Zhang Zhongqiang.Multisymplectic Fourier Pseudospectral Methods for the MKdV Equation[J].Communication on Applied Mathematics and Computation,2009,23(1):81-86. |
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| Authors: | Ju Ruiliang Ma Heping Zhang Zhongqiang |
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| Institution: | (Sciences College, Shanghai University, Shanghai 200444, China) |
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| Abstract: | A multisymplectic Fourier pseudospectral scheme, based on the differentiation matrix method, is presented for the MKdV equation. It is shown that the scheme is equivalent to a traditional Fourier pseudospectral scheme. Numerical experiments show the scheme is stable, of high accuracy, and especially suitable for large time behavior simulation. |
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| Keywords: | multisymplectic spectral differentiation matrix Fourier pseudospectral |
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