非线性Boussinesq方程拟谱方法的收敛性与最优阶误差估计

非线性Boussinesq方程拟谱方法的收敛性与最优阶误差估计

尹丽, 徐英详，黄明游

吉林大学数学学院, 长春 130012

收稿日期:2003-05-30 修回日期:1900-01-01 出版日期:2004-01-26 发布日期:2004-01-26
通讯作者: 尹丽

Convergence and optimal error estimation of pseudo-spectralmethod for nonlinear Boussinesq equation

YIN Li, XU Ying-xiang, HUANG Ming-you

College of Mathematics, Jilin University, Changchun 130012, China

Received:2003-05-30 Revised:1900-01-01 Online:2004-01-26 Published:2004-01-26
Contact: YIN Li

摘要/Abstract

摘要： 讨论非线性Good Boussinesq方程的拟谱方法与全离散计算格式，分析了半离散与全离散近似解的收敛性，并给出最优阶误差估计．

关键词: 非线性GoodBoussinesq方程, 拟谱方法, 收敛性与误差估计

Abstract: We have studied the numerical solutions to the nonlinea r Boussinesq equation using pseudo-spectral method and proved the convergence a nd optimal convergence rate of the semi-discrete and full-discrete solutions t o the real solutions of the continous problem.

Key words: nonlinear “Good” Boussinesq equation, pseudo-spectr al method, convergence and error estimate

中图分类号:

O241.82

尹丽, 徐英详，黄明游. 非线性Boussinesq方程拟谱方法的收敛性与最优阶误差估计[J]. J4, 2004, 42(01): 35-42.

YIN Li, XU Ying-xiang, HUANG Ming-you. Convergence and optimal error estimation of pseudo-spectralmethod for nonlinear Boussinesq equation[J]. J4, 2004, 42(01): 35-42.

[1]	冯立新. Sobolev方程Fourier拟谱方法的长时间稳定性和收敛性[J]. J4, 2003, 41(04): 440-448.
[2]	白凤兰, 尹丽，邹永魁. 近似求解Cahn-Hilliard方程的拟谱方法[J]. J4, 2003, 41(03): 262-268.