Journal of Applied Mathematics

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

Changqing Yang and Jianhua Hou

Full-text: Open access

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.

Article information

Source
J. Appl. Math., Volume 2012 (2012), Article ID 316534, 9 pages.

Dates
First available in Project Euclid: 14 December 2012

Permanent link to this document
https://projecteuclid.org/euclid.jam/1355495029

Digital Object Identifier
doi:10.1155/2012/316534

Mathematical Reviews number (MathSciNet)
MR2880829

Zentralblatt MATH identifier
1235.65107

Citation

Yang, Changqing; Hou, Jianhua. A Numerical Method for Lane-Emden Equations Using Hybrid Functions and the Collocation Method. J. Appl. Math. 2012 (2012), Article ID 316534, 9 pages. doi:10.1155/2012/316534. https://projecteuclid.org/euclid.jam/1355495029


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