@Article{JCM-35-6,
author = {Xiao, Li and Zhonghua, Qiao and Zhang, Hui},
title = {A Second-Order Convex Splitting Scheme for a Cahn-Hilliard Equation with Variable Interfacial Parameters},
journal = {Journal of Computational Mathematics},
year = {2017},
volume = {35},
number = {6},
pages = {693--710},
abstract = {<p style="text-align: justify;">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.</p>},
issn = {1991-7139},
doi = {https://doi.org/10.4208/jcm.1611-m2016-0517},
url = {https://global-sci.com/article/84534/a-second-order-convex-splitting-scheme-for-a-cahn-hilliard-equation-with-variable-interfacial-parameters}
}