摘要
研究了一维Allen-Cahn方程有限差分方法逼近.空间方向采用中心有限差分格式,而时间方向分别采用带稳定项的一阶线性隐显格式、二阶非线性校正Crank-Nicolson格式和二阶线性Leap-Frog格式.证明了数值格式的离散最大化原则和能量稳定性.
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,secondorder 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.
出处
《北华大学学报(自然科学版)》
CAS
2016年第2期159-164,共6页
Journal of Beihua University(Natural Science)
基金
国家自然科学基金项目(11526036)