- 教授
- 博士生导师
- 硕士生导师
- 电子邮箱：
- 入职时间：1997-07-01
- 学历：博士研究生毕业
- 性别：男
- 学位：博士
- 在职信息：在职
- 毕业院校：西安交通大学
- 所属院系：数学与统计学院
- 学科：数学
Stable Second-order Schemes for the Space-fractional Cahn-Hilliard and Allen-Cahn Equations
- 发布时间：2025-04-30
- 论文名称：Stable Second-order Schemes for the Space-fractional Cahn-Hilliard and Allen-Cahn Equations
- 发表刊物：Computers and Mathematics with Applications
- 摘要：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. - 合写作者：Linlin Bu, Liquan Mei, Yan Hou
- 卷号：78（11）
- 页面范围：3485-3500
- 是否译文：否
- 发表时间：2019-12-01
- 合写作者：Linlin Bu, Liquan Mei, Yan Hou