论文期刊

Stable Second-order Schemes for the Space-fractional Cahn-Hilliard and Allen-Cahn Equations




作者: Linlin Bu, Liquan Mei, Yan Hou
发表/完成日期: 2019-06-04
期刊名称: Computers and Mathematics with Applications
期卷:
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论文简介
In this paper, we propose stable second-order numerical schemes for the fractional Cahn-Hilliard and Allen-
Cahn equations, which are based on the convex splitting in time and the Fourier spectral method in space.
It is shown that the scheme for the fractional Cahn-Hilliard equation preserves mass. Meanwhile, the unique
solvability and energy stability of the numerical schemes for the fractional Cahn-Hilliard and Allen-Cahn
equations are proved. Finally, we present some numerical experiments to con rm the accuracy and the
e ectiveness of the proposed methods.