北华大学学报（自然科学版）2016，Vol.17Issue(2)：159-164,6.DOI:10.11713/j.issn.1009-4822.2016.02.004
一维Allen-Cahn方程有限差分方法的离散最大化原则和能量稳定性研究
Discrete Maximum Principle and Energy Stability of Finite Difference Methods for One-dimensional Allen-Cahn Equations
摘要
Abstract
The finite difference approximation for one-dimensional Allen-Cahn equation is studied.Central finite difference scheme is used for spatial discretization,stabilized one-order linear implicit-explicit scheme,second-order nonlinear modified Crank-Nicolson scheme and second-order linear Leap-Frog scheme are used for temporal discretization respectively.Discrete maximum principle and energy stability of these schemes are established.关键词
Allen-Cahn方程/有限差分方法/最大化原则/能量稳定性Key words
Allen-Cahn equation/finite difference method/maximum principle/energy stability分类
数理科学引用本文复制引用
张佳琪,侯天亮..一维Allen-Cahn方程有限差分方法的离散最大化原则和能量稳定性研究[J].北华大学学报（自然科学版）,2016,17(2):159-164,6.基金项目
国家自然科学基金项目(11526036). （11526036）
