近似求解Cahn-Hilliard方程的拟谱方法

近似求解Cahn-Hilliard方程的拟谱方法

白凤兰^1,2, 尹丽¹，邹永魁¹

1. 吉林大学数学学院, 长春 130012; 2. 大连理工大学应用数学系, 大连 116024

收稿日期:2003-01-04 修回日期:1900-01-01 出版日期:2003-07-26 发布日期:2003-07-26
通讯作者: 白凤兰

The Pseudo-spectral Method for Cahn-Hilliard Equation

BAI Feng-lan^1,2, YIN Li¹, ZOU Yong-kui¹

1. College of Mathematics, Jilin University, Changchun 130012, China;2. Department of Applied Mathematics, Dalian University of Science and Technology, Dalian 116024, China

Received:2003-01-04 Revised:1900-01-01 Online:2003-07-26 Published:2003-07-26
Contact: BAI Feng-lan

摘要/Abstract

摘要： 利用拟谱方法研究了非线性Cahn-Hilliard方程解的近似，分析了半离散与全离散近似解的收敛性和稳定性，并给出收敛速度的估计. 同时还讨论了半离散问题解的爆破现象.

关键词: 拟谱方法, 插值算子, 爆破现象

Abstract: We studied the numerical approximation to Cahn-Hilliard equation with pseudo-spectral method. We proved the convergence and the st ability of the semi-discrete and the full-discrete soltions to the real solution and figured out the corresponding rate of the convergence. Finaly, we obtained the blow-up phenomena of the semi-discrete problem’s solution.

Key words: pseudo-spectral method, interpolation operator, blow-up

中图分类号:

O175.23

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.

BAI Feng-lan, YIN Li, ZOU Yong-kui. The Pseudo-spectral Method for Cahn-Hilliard Equation[J]. J4, 2003, 41(03): 262-268.

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