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论文期刊

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   
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.
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