eng
Science and Education Publishing
American Journal of Mathematical Analysis
2333-8431
2015-04-28
3
2
39
43
10.12691/ajma-3-2-3
AJMA2015323
article
Similar Constructing Method for Solving the Boundary Value Problem of the Compound Kummer Equation
Duo Zhang
1
Shunchu Li
lishunchu@163.com
1
Dongdong Gui
2
College of Science, Xihua University, Chengdu, China
Beijing Dongrunke Petroleum Technology Co., Ltd., Beijing, China
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.
http://pubs.sciepub.com/ajma/3/2/3/ajma-3-2-3.pdf
boundary value problem
similar structure
similar kernel function
similar constructive method
compound Kummer equation