%0 Journal Article
%T AN ALTERNATING DIRECTION IMPLICIT DIFFERENCE SCHEME FOR TWO DIMENSIONAL SEMILINEAR REACTION-DIFFUSION EQUATION<br>二维半线性反应扩散方程的交替方向隐格式
%A Wu Hongwei
%A <br>吴宏伟
%J 计算数学
%D 2008
%I 
%X The purpose of this work is to study difference method for a two dimensional semi- linear reaction-diffusion equation.An alternating direction implicit difference scheme is constructed.The proposed scheme is a two-level and linearization scheme.Using discrete energy estimates,existence and uniqueness of difference scheme are proved and convergence and stability of difference scheme in discrete H~1 norm are also obtained.Two numerical examples are presented and compared with the exact analytical solution for its order of convergence.
%K semilinear
%K reaction-diffusion equation
%K ADI
%K difference scheme
%K convergence
%K stability<br>半线性
%K 反应扩散方程
%K 交替方向隐格式
%K 收敛性
%K 稳定性
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=37F46C35E03B4B86&jid=CC77F3CEF526D9CF0B3021650FB4E57E&aid=967A22856412639D1C31D8553B92FCBF&yid=67289AFF6305E306&vid=340AC2BF8E7AB4FD&iid=E158A972A605785F&sid=31125890FF093250&eid=5DCBAAB000A70168&journal_id=0254-7791&journal_name=计算数学&referenced_num=1&reference_num=8