期刊
JOURNAL OF COMPUTATIONAL MATHEMATICS
卷 35, 期 6, 页码 693-710出版社
GLOBAL SCIENCE PRESS
DOI: 10.4208/jcm.1611-m2016-0517
关键词
Cahn-Hilliard equation; Second-order accuracy; Convex splitting; Energy stability
资金
- China Postdoctoral Science Foundation [2017M610748]
- Hong Kong Research Council GRF grants [15302214, 509213]
- NSFC/RGC Joint Research Scheme [N_HKBU 204/12, 11261160486]
- NSFC [11471046, 11571045]
- Fundamental Research Funds for the Central Universities
In this paper, the MMC-TDGL equation, a stochastic Cahn-Hilliard equation with a variable interfacial parameter, is solved numerically by using a convex splitting scheme which is second-order in time for the non-stochastic part in combination with the Crank-Nicolson and the Adams-Bashforth methods. For the non-stochastic case, the unconditional energy stability is obtained in the sense that a modified energy is non-increasing. The scheme in the stochastic version is then obtained by adding the discretized stochastic term. Numerical experiments are carried out to verify the second-order convergence rate for the non-stochastic case, and to show the long-time stochastic evolutions using larger time steps.
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