eng
Science and Education Publishing
American Journal of Applied Mathematics and Statistics
2328-7292
2015-04-29
3
3
89
92
10.12691/ajams-3-3-1
AJAMS2015331
article
A Method for Solving a Class of Boundary Value Problems of Laguerre Equation
Li Ren
1
Shunchu Li
lishunchu@163.com
1
Dongdong Gui
2
School of science, Xihua University, Chengdu, China
Beijing Dongrunke Petroleum Technology Co.,Ltd., Beijing 100029, China
Based on the analysis of the boundary value problem of Laguerre equation, this paper studies the similar structure of its solution expression. This paper is found that its solution can be obtained by combining similar kernel function with coefficients of left boundary condition. While the similar kernel function is constructed by both the function of guide solution and coefficients of right boundary condition. Hence, we proposed a method for solving this class of boundary value problems: the similar constructing method.
http://pubs.sciepub.com/ajams/3/3/1/ajams-3-3-1.pdf
Laguerre equation
boundary value problem
similar kernel function
the similar constructing method