Stabilized semi-implicit spectral deferred correction methods for Allen-Cahn and Cahn-Hilliard equations

被引：56

作者：

Liu, Fei ^{[1
]}

Shen, Jie ^{[2
,3
]}

机构：

[1] Huazhong Univ Sci & Technol, Sch Math & Stat, Wuhan 430074, Peoples R China

[2] Xiamen Univ, Sch Math Sci, Xiamen, Peoples R China

[3] Purdue Univ, Dept Math, W Lafayette, IN 47907 USA

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2015年 / 38卷 / 18期

基金：

美国国家科学基金会; 中国国家自然科学基金;

关键词：

spectral deferred correction; spectral Galerkin method; method of lines; Allen-Cahn and Cahn-Hilliard equations; PHASE-FIELD MODEL; THIN-FILM EPITAXY; PARABOLIC PROBLEMS; GALERKIN METHOD; TIME; APPROXIMATION; EVOLUTION; MOBILITY; GROWTH; ORDER;

D O I：

10.1002/mma.2869

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Stabilized semi-implicit spectral deferred correction methods are constructed for the time discretization of Allen-Cahn and Cahn-Hilliard equations. These methods are unconditionally stable, lead to simple linear system to solve at each iteration, and can achieve high-order time accuracy with a few iterations in each time step. Ample numerical results are presented to demonstrate the effectiveness of the stabilized semi-implicit spectral deferred correction methods for solving the Allen-Cahn and Cahn-Hilliard equations. Copyright (C) 2013 John Wiley & Sons, Ltd.

引用

页码：4564 / 4575

页数：12

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