三维调和问题的自然积分方程及其数值解  

THE NATURAL INTEGRAL EQUATIONS OF 3-D HARMONIC PROBLEMS AND THEIR NUMERICAL SOLUTIONS

作　　者：邬吉明[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科学与工程计算国家重点实验室

出　　处：《计算数学》1998年第4期419-430,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 the natural boundary reduction, suggested by Feng and Yu[1], is applied to deal with the three-dimensional problems. By expansion in spherical harmonics, we obtain the natural integral equations of harmonic problems over interior and exterior spherical domains. Meanwhile, we develop a numerical method for sloving these equations. Some numerical examples are also given to illustrate our method.In this paper the natural boundary reduction, suggested by Feng and Yu[1], is applied to deal with the three-dimensional problems. By expansion in spherical harmonics, we obtain the natural integral equations of harmonic problems over interior and exterior spherical domains. Meanwhile, we develop a numerical method for sloving these equations. Some numerical examples are also given to illustrate our method.

关 键 词：三维 调和问题 自然边界归化 数值解 积分方程 

分 类 号：O241.83[理学—计算数学]