论文标题 |
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 |
2019-12-01 |
期刊名称 |
Computers and Mathematics with Applications |
期卷 |
78(11) |
相关文章 |
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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 conrm the accuracy and the
eectiveness of the proposed methods. |