静态场边值问题的分离变量法理论研究  

Theory of separation of variables for solving boundary value problems of the static field

作　　者：王礼祥[1] 

机构地区：[1]西南民族大学预科教育学院,四川成都610041

出　　处：《西南民族大学学报（自然科学版）》2011年第3期360-367,共8页Journal of Southwest Minzu University(Natural Science Edition)

摘　　要：文章分析讨论了静态电磁场方程在正交曲线坐标中能分离变量法解的充分必要条件,验算了在几种常用正交曲线坐标中可分离变量解的原因,介绍了由分离变量法派生的用于解非齐次方程和非齐次边界条件边值问题的本征函数法.This paper discusses the necessary and sufficient conditions of separating-variables for the static electromagnetic field equation in orthogonal curvilinear coordinates,checking the reasons of the separating-variable solution in the several commonly orthogonal curvilinear coordinates,introduced the eigenfunction method for the solution of boundary value problem in the non-homogenous linear equation and the non-homogeneous boundary condition.

关 键 词：静态场 边值问题 分离变量法 正交曲线坐标 线性齐次方程 本征函数法 

分 类 号：O412[理学—理论物理]