%0 Journal Article
%T Reproducing Kernel Function Method for Second Order ParabolicEquations<br>解二阶抛物型方程组的再生核函数法
%A ZHANG Linlin
%A XIE Shusen
%A <br>张林林
%J 系统科学与数学
%D 2008
%I 
%X In this paper, a reproducing kernel function method for numerically solving second order parabolic equations is devised. By using the reproducing kernel function, the approximate solution at each discrete time level is given with explicit formula. Computations run fully parallel with the explicit formula. The second-order convergence and stability of the scheme are proved with energy method. Some numerical results are presented.
%K Parabolic equations
%K Laplace modified schemes
%K reproducing kernel<br>抛物型方程组
%K Laplace修正格式
%K 再生核.
%K 二阶收敛性
%K 抛物型方程组
%K 再生核
%K 函数法
%K PARABOLIC
%K EQUATIONS
%K SECOND
%K ORDER
%K METHOD
%K 数值结果
%K 稳定性
%K 格式
%K 法证
%K 能量估计
%K 并行计算
%K 完全
%K 显式表达式
%K 近似解
%K 离散时间
%K 核函数
%K 利用
%K 新数值方法
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=37F46C35E03B4B86&jid=0CD45CC5E994895A7F41A783D4235EC2&aid=25F7EA579A2568487D36FD615E20D1A3&yid=67289AFF6305E306&vid=D3E34374A0D77D7F&iid=CA4FD0336C81A37A&sid=4049EA19CD44D46D&eid=01FF8B71E1770D73&journal_id=1000-0577&journal_name=系统科学与数学&referenced_num=0&reference_num=9