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Congyin Fan, Shunchu Li, Dongxu Xu. Similar Structure Method of Solution of a class of Thomson Equation Boundary Value Problem (in Chinese)[J]. Advances in Applied Mathematics, 2012, 1(2): 41-48.

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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