@Article{JCM-35-693, author = {Li , XiaoQiao , Zhonghua 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 = {

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 = {1991-7139}, doi = {https://doi.org/10.4208/jcm.1611-m2016-0517}, url = {http://global-sci.org/intro/article_detail/jcm/10490.html} }