MKdV方程的多辛Fourier拟谱方法  

Multisymplectic Fourier Pseudospectral Methods for the MKdV Equation

作　　者：鞠瑞亮[1] 马和平[1] 张中强[1] 

机构地区：[1]上海大学理学院,上海200444

出　　处：《应用数学与计算数学学报》2009年第1期81-86,共6页Communication on Applied Mathematics and Computation

基　　金：国家自然基金(No.10471089)资助项目

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.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.

关 键 词：多辛 谱微分矩阵 Fourier拟谱 

分 类 号：O241.82[理学—计算数学] O186.1[理学—数学]