Fourier spectral method for the modified Swift-Hohenberg equation

被引：4
|
作者：
Zhao, Xiaopeng [1 ]
Liu, Bo [1 ]
Zhang, Peng [2 ]
Zhang, Wenyu [1 ]
Liu, Fengnan [1 ]
机构：
[1] Jilin Univ, Coll Math, Changchun 130012, Peoples R China
[2] Chinese Acad Sci, Inst Software, Beijing 100190, Peoples R China
来源：
ADVANCES IN DIFFERENCE EQUATIONS | 2013年
关键词：
CAHN-HILLIARD EQUATION; INSTABILITY;
D O I：
10.1186/1687-1847-2013-156
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we consider the Fourier spectral method for numerically solving the modified Swift-Hohenberg equation. The semi-discrete and fully discrete schemes are established. Moreover, the existence, uniqueness and the optimal error bound are also considered.
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页数：19
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