Similar Constructing Method for Solving the Boundary Value Problem of the Compound Kummer Equation

Duo Zhang¹, Shunchu Li^1, and Dongdong Gui²

¹College of Science, Xihua University, Chengdu, China

²Beijing Dongrunke Petroleum Technology Co., Ltd., Beijing, China

Cite this paper:
Duo Zhang, Shunchu Li and Dongdong Gui. Similar Constructing Method for Solving the Boundary Value Problem of the Compound Kummer Equation. American Journal of Mathematical Analysis. 2015; 3(2):39-43. doi: 10.12691/ajma-3-2-3

Abstract

This article is devoted to analyze the compound Kummer equation. Through the structure of left region and right region similarity kernel function, have similar structure of solution for this boundary value problems. The left field solution of this kind of boundary value problems can be obtained by combing the coefficients of boundary value problems on the left and the left area similar kernel function. The right field solution of this kind of boundary value problems can be expressed by assembling the left, the right area similar kernel function, the left lead solution functions and the coefficients of the convergence conditions. Thus put forward the simple method which was named similar constructive method to solve the boundary value problems of the compound Kummer equation. The put forward of this method provides the convenience for solving this kind of differential equation boundary value problems.

Keywords:
boundary value problem similar structure similar kernel function similar constructive method compound Kummer equation

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