American Journal of Applied Mathematics and Statistics
ISSN (Print): 2328-7306 ISSN (Online): 2328-7292 Website: http://www.sciepub.com/journal/ajams Editor-in-chief: Mohamed Seddeek
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American Journal of Applied Mathematics and Statistics. 2015, 3(3), 89-92
DOI: 10.12691/ajams-3-3-1
Open AccessArticle

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

Li Ren1, Shunchu Li1, and Dongdong Gui2

1School of science, Xihua University, Chengdu, China

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

Pub. Date: April 29, 2015

Cite this paper:
Li Ren, Shunchu Li and 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

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:
Laguerre equation boundary value problem similar kernel function the similar constructing method

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