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Title: A second-order convex splitting scheme for a Cahn-Hilliard equation with variable interfacial parameters
Authors: Li, X
Qiao, ZH 
Zhang, H
Keywords: Cahn-Hilliard equation
Second-order accuracy
Convex splitting
Energy stability
Issue Date: 2017
Publisher: Global Science Press
Source: Journal of computational mathematics, 2017, v. 35, no. 6, p. 693-710 How to cite?
Journal: Journal of computational mathematics 
Abstract: 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.
ISSN: 0254-9409
EISSN: 1991-7139
DOI: 10.4208/jcm.1611-m2016-0517
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