梅立泉
- 教授
- Supervisor of Doctorate Candidates
- Supervisor of Master's Candidates
- E-Mail:
- Date of Employment:1997-07-01
- Education Level:With Certificate of Graduation for Doctorate Study
- Professional Title:教授
- Status:Employed
- Alma Mater:西安交通大学
- College:School Of Mathematics And Statistics
- Discipline:Mathematics
- Papers
Stable Second-order Schemes for the Space-fractional Cahn-Hilliard and Allen-Cahn Equations
Release Time:2025-04-30 Hits:
- Date:2025-04-30
- Title of Paper:Stable Second-order Schemes for the Space-fractional Cahn-Hilliard and Allen-Cahn Equations
- Journal:Computers and Mathematics with Applications
- Summary: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. - Co-author:Linlin Bu, Liquan Mei, Yan Hou
- Volume:78（11）
- Page Number:3485-3500
- Translation or Not:No
- Date of Publication:2019-12-01