摘要
基于对复合型标准Bessel方程的一类边值问题进行求解分析,在发现了解式的相似结构和相似核函数的基础上,提出了求解该类边值问题的一个新方法——相似构造法.该方法实质上是一种代数的、初等的方法(无需进行微积分运算),为解决相应的工程科学应用问题提供了一个既简捷又行之有效的方法和途径.
Based on the analysis of the solutions for a boundary value problem of the composite normalized Bessel differential equation, it is found out that the structure and the kernel functions of the solutions are quite similar, and thus a similar structured approach is put forward for the solving of boundary value problems of similar kind. The said approach is actually an algebraical and primary approach(which requires no calculus operation) in essence, which provides us a simple yet effective method to solve application problems in engineering science.
出处
《内江师范学院学报》
2012年第8期7-10,共4页
Journal of Neijiang Normal University
基金
教育部规划基金(XJA880009)
关键词
复合型Bessel方程
边值问题
相似结构
相似核函数
构造法
composite normalized Bessel equation
boundary value problem
similar structure
similar kernel function
structured approach