常微分方程级数解法中系数递推公式的一种推导方法  

A method of the coefficient recursion formula for solving ordinary differential equation

作　　者：杨志坚[1] 

机构地区：[1]西南民族大学电信学院,四川成都610041

出　　处：《西南民族大学学报（自然科学版）》2011年第6期971-974,共4页Journal of Southwest Minzu University(Natural Science Edition)

摘　　要：在数学物理方法中常见的几种偏微分方程在柱坐标系或球坐标下分离变量时会出现二阶线性齐次常微分方程,为了求解这类常微分方程,常用级数解法.该方法的核心问题就是找解函数级数的系数递推公式,本文推荐一个比较简单的求系数递推公式的方法.When partial differential equation,in spherical or cylindrical coordinates,is used by method of speration of variables,there will be 2-order ordinary differential.In order to solve these equation,we often consider the series method,the key problem of which is to find recursion formula of solvion function.This paper shows a simpler method to find out the reurion formula.

关 键 词：微分方程 级数解法 递推公式 

分 类 号：O175[理学—数学]