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

Authors:
Li-Ping He;Yunxian Liu
Affiliations:
Department of Mathematics, Shanghai Jiao Tong University, Shanghai 200030, PR China;School of Mathematics, Shandong University, Jinan, Shandong 250100, PR China
Venue:
Journal of Computational Physics
Year:
2009

Citing 4
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Abstract

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.