Article citationsMore >>

Xitao Bao, Shunchu Li, ZhiJian Liao. Similar Constructive Method of Solution for the Boundary Value Problem of Euler Hyper-geometric Differential Equation (in Chinese)[J]. Journal of Southwest University of Science and Technology, 2012, 27(4):101-105.

has been cited by the following article:

Article

A Method for Solving a Class of Boundary Value Problems of Laguerre Equation

1School of science, Xihua University, Chengdu, China

2Beijing Dongrunke Petroleum Technology Co.,Ltd., Beijing 100029, China


American Journal of Applied Mathematics and Statistics. 2015, Vol. 3 No. 3, 89-92
DOI: 10.12691/ajams-3-3-1
Copyright © 2015 Science and Education Publishing

Cite this paper:
Li Ren, Shunchu Li, Dongdong Gui. A Method for Solving a Class of Boundary Value Problems of Laguerre Equation. American Journal of Applied Mathematics and Statistics. 2015; 3(3):89-92. doi: 10.12691/ajams-3-3-1.

Correspondence to: Shunchu  Li, School of science, Xihua University, Chengdu, China. Email: lishunchu@163.com

Abstract

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.

Keywords