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MKdV方程的多辛Fourier拟谱方法
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.
作者姓名:鞠瑞亮  马和平  张中强
作者单位:上海大学理学院,上海,200444
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.

关 键 词:多辛  谱微分矩阵  Fourier拟谱

Multisymplectic Fourier Pseudospectral Methods for the MKdV Equation
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.
Authors:Ju Ruiliang  Ma Heping  Zhang Zhongqiang
Institution:(Sciences College, Shanghai University, Shanghai 200444, China)
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.
Keywords:multisymplectic  spectral differentiation matrix  Fourier pseudospectral
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