On large time-stepping methods for the Cahn--Hilliard equation

Authors:
Yinnian He;Yunxian Liu;Tao Tang
Affiliations:
Faculty of Science, Xi'an Jiaotong University, Xi'an 710049, PR China;School of Mathematics and System Sciences, Shandong University, Jinan, Shandong 250100, PR China;Department of Mathematics, Hong Kong Baptist University, Kowloon Tong, Hong Kong
Venue:
Applied Numerical Mathematics
Year:
2007

Citing 3
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Abstract

In this work, we will analyze a class of large time-stepping methods for the Cahn-Hilliard equation. The equation is discretized by Fourier spectral method in space and semi-implicit schemes in time. For first-order semi-implicit scheme, the stability and convergence properties are investigated based on an energy approach. Here stability means that the decay of energy is preserved. The numerical experiments are used to demonstrate the effectiveness of the large time-stepping approaches.