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Journal of Applied Mathematics
Volume 2012, Article ID 316534, 9 pages
http://dx.doi.org/10.1155/2012/316534
Research Article

A Numerical Method for Lane-Emden Equations Using Hybrid Functions and the Collocation Method

Department of Science, Huaihai Institute of Technology, Jiangsu Lianyungang, 222005, China

Received 26 September 2011; Accepted 18 November 2011

Academic Editor: Song Cen

Copyright © 2012 Changqing Yang and Jianhua Hou. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

A numerical method to solve Lane-Emden equations as singular initial value problems is presented in this work. This method is based on the replacement of unknown functions through a truncated series of hybrid of block-pulse functions and Chebyshev polynomials. The collocation method transforms the differential equation into a system of algebraic equations. It also has application in a wide area of differential equations. Corresponding numerical examples are presented to demonstrate the accuracy of the proposed method.