Laguerre polynomial approach for solving Lane-Emden type functional differential equations

被引：37

作者：

Gurbuz, Burcu ^{[1
]}

Sezer, Mehmet ^{[1
]}

机构：

[1] Celal Bayar Univ, Fac Sci, Dept Math, TR-45140 Manisa, Turkey

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2014年 / 242卷

关键词：

Lane-Emden equation; Laguerre polynomials; Collocation method; Numerical approach; Differential-difference equations; ALGORITHM;

D O I：

10.1016/j.amc.2014.05.058

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, a numerical method, which is called the Laguerre collocation method, for the approximate solution of Lane-Emden type functional differential equations in terms of Laguerre polynomials are derived. The method is based on the matrix relations of Laguerre polynomials and their derivatives, and reduces the solution of the Lane-Emden type functional differential equation to the solution of a matrix equation corresponding to system of algebraic equations with the unknown Laguerre coefficients. Also, some illustrative examples are included to demonstrate the validity and applicability of the proposed method. (C) 2014 Elsevier Inc. All rights reserved.

引用

页码：255 / 264

页数：10

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