求解扩展变型Bessel方程边值问题的相似构造法  

Similar Construction Method of the Boundary Value Problem in the Extend Modified Bessel Equation

作　　者：冷礼辉[1] 郑鹏社[1] 李顺初[1] Leng Lihui;Zheng Pengshe;Li Shunchu(School of Science,Xihua University,Chengdu 610039,China)

机构地区：[1]西华大学理学院,成都610039

出　　处：《科技通报》2017年第8期1-3,共3页Bulletin of Science and Technology

基　　金：四川省科技厅2015年第一批科技计划项目(2015JY0245);四川省教育厅自然科学重点项目(15ZA0135);数字空间安全保障实验室(szjj2014-080)

摘　　要：针对扩展变型Bessel方程的一般边值问题,研究了解式的相似结构,从中获得了解的相似核函数;而相似核函数实际上是由定解方程的两个线性无关的解以及方程的右边界条件的系数构造而得,说明了此类微分方程边值问题的解可以先构造出相似核函数,再由左边界条件中的系数决定的相似结构式进行组装;这种不必去具体繁琐地进行推导求解的方法就是所谓的相似结构构造法(简称相似构造法)。The similar structure of the solution to the extended and modified Bessel equation with boundary value was investigated.and get the solution’similar kernel function.The results show that the solutions to this differential equations with boundary value can be combined with the similar kernel function.This kernel function was got from two linearly independent solutions to the fixed solution problem and the coefficients of the right boundary condition,and the similar structure determined by the coefficients of the left boundary condition.This is the so-called the similar structure method.Thus,the method avoided the tedious mathematical manipulation.

关 键 词：变型Bessel方程 边值问题 相似结构 相似核函数 构造法 

分 类 号：O175[理学—数学]