复合扩展变型Bessel方程边值问题的相似构造解法

The Method of Construction Solving the Boundary Value Problem of the Composite Extend Modified Bessel Equation

对复合扩展的变型Bessel方程的一类边值问题进行求解,在获得解式的相似结构和相似核函数的基础上,发现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,为解决相应的实际应用问题提供了一个既简捷又行之有效的新方法和新途径.

This paper is devoted to the analysis of the solutions for a boundary value problem of the composite extend modified Bessel differential equation, based on it is found out the similar structure and the similar kernel functions of the solutions, and put forward a new method of solving this class boundary value problem： the similar constructive method. In particular, it is shown that this method are an algebraically and elementary substantially, an innovative idea and a simple effective new method and way when used in practical engineering science also.