Title :
A Numerical Method for Lane-Emden Equations Using Chebyshev Polynomials and the Collocation Method
Author :
Yang, Changqing ; Hou, Jianhua
Author_Institution :
Dept. of Sci., Huaihai Inst. of Technol., Lianyungang, China
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 Chebyshev expansions of function. 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.
Keywords :
Chebyshev approximation; differential equations; initial value problems; Chebyshev Polynomials; Lane-Emden Equations; algebraic equations; collocation method; differential equation; numerical method; singular initial value problems; Approximation algorithms; Chebyshev approximation; Differential equations; Integral equations; Mathematical model; Polynomials; Chebyshev polynomial; Lane-Emden equation; Numerical method; Singular initial value problems; collocation method;
Conference_Titel :
Computational and Information Sciences (ICCIS), 2010 International Conference on
Conference_Location :
Chengdu
Print_ISBN :
978-1-4244-8814-8
Electronic_ISBN :
978-0-7695-4270-6
DOI :
10.1109/ICCIS.2010.31
