A class of stable spectral methods for the Cahn-Hilliard equation

A class of stable spectral methods for the Cahn-Hilliard equation
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DOI:
10.1016/j.jcp.2009.04.011
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发表时间:
2009-08-01
影响因子:
4.1
通讯作者:
Liu, Yunxian
Liu, Yunxian
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
He, Li-ping;Liu, Yunxian

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本文考虑二维Cahn-Hilliard方程的初边值问题。提出了一类完全离散的耗散Fourier谱格式。此外,半隐式预测校正方案。数值仿真结果表明了所提方案的有效性。(C)2009 Elsevier Inc. All rights reserved.
In this work, the initial-boundary value problem of two-dimensional Cahn-Hilliard equation is considered. A class of fully discrete dissipative Fourier spectral schemes are proposed. Moreover, semi-implicit prediction-correction schemes are presented. The numerical simulations are performed to demonstrate the effectiveness of the proposed schemes. (C) 2009 Elsevier Inc. All rights reserved.