4.7 Article

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

Journal

JOURNAL OF COMPUTATIONAL PHYSICS
Volume 228, Issue 14, Pages 5101-5110

Publisher

ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jcp.2009.04.011

Keywords

Dissipative spectral method; Cahn-Hilliard model

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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.

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