抛物型初边值问题的自然积分方程及其数值解法  

THE NATURAL INTEGRAL EQUATION FORINITIAL BOUNDARY VALUE PROBLEMSOF PARABOLIC EQUATION AND ITSNUMERICAL IMPLEMENTATION

作　　者：杜其奎[1] 余德浩[1] 

机构地区：[1]中国科学院计算数学与科学工程计算研究所

出　　处：《计算数学》1999年第4期495-506,共12页Mathematica Numerica Sinica

基　　金：国家自然科学基金;攀登计划资助

摘　　要：In this paper, we apply the natural boundary element method to solve initialboundary value problem of parabolic equation. By Fourier expansion, we obtainthe natural integral equation of the problem and its Poisson integral formula overexterior circular domain. Meanwhile, the numerical implementation of the natural integral equation is given. At last some numerical examples are presented toillustrate feasibility and efficiency of our method.In this paper, we apply the natural boundary element method to solve initialboundary value problem of parabolic equation. By Fourier expansion, we obtainthe natural integral equation of the problem and its Poisson integral formula overexterior circular domain. Meanwhile, the numerical implementation of the natural integral equation is given. At last some numerical examples are presented toillustrate feasibility and efficiency of our method.

关 键 词：抛物型问题 自然积分方程 初边值问题 数值解 

分 类 号：O241.83[理学—计算数学]