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2012 A Numerical Method for Lane-Emden Equations Using Hybrid Functions and the Collocation Method
Changqing Yang, Jianhua Hou
J. Appl. Math. 2012: 1-9 (2012). DOI: 10.1155/2012/316534

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.

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Changqing Yang. Jianhua Hou. "A Numerical Method for Lane-Emden Equations Using Hybrid Functions and the Collocation Method." J. Appl. Math. 2012 1 - 9, 2012. https://doi.org/10.1155/2012/316534

Information

Published: 2012
First available in Project Euclid: 14 December 2012

zbMATH: 1235.65107
MathSciNet: MR2880829
Digital Object Identifier: 10.1155/2012/316534

Rights: Copyright © 2012 Hindawi

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