摘要
针对二维半线性抛物型方程初边值问题提出了一类形式非常简单的线性化二层Peaceman-Rachford交替方向差分格式,利用离散能量方法证明了格式在空间和时间方向按照离散L2范数均具有二阶精度.数值例子验证了格式的有效性.
A simple linearized two level Peaceman-Rachford alternating direction implicit difference scheme is presented for two-dimensional semilinear parabolic equations with initial and boundary conditions. It is proved that the scheme has second order accuracy with respect to discrete L^2 norm by discrete energy method. The numerical example illustrates the validity of the scheme.
出处
《天津师范大学学报（自然科学版）》
CAS
北大核心
2009年第4期14-18,共5页
Journal of Tianjin Normal University：Natural Science Edition
关键词
二维半线性抛物方程
P-R交替方向差分格式
收敛性分析
two-dimensional semilinear parabolic equations
Peaceman-Rachford alternating direction implicit difference scheme
convergence analysis
