A numerical approach for solving singular nonlinear LaneEmden type equations arising in astrophysics

Citation

Nasab, Aliasghar Kazemi and Kilicman, Adem and Atabakan, Z. Pashazadeh and Leong, Wah June (2015) A numerical approach for solving singular nonlinear LaneEmden type equations arising in astrophysics. New Astronomy, 34. pp. 178-186. ISSN 1384-1076

Abstract

In this paper, we suggest a numerical method based upon hybrid of Chebyshev wavelets and finite difference methods for solving well-known nonlinear initial-value problems of Lane–Emden type. The useful properties of the Chebyshev wavelets and finite difference method are utilized to reduce the computation of the problem to a set of nonlinear algebraic equations. Making a comparison among the obtained results using the present method with those ones reported in literature by some other well-known methods confirms the accuracy and computational efficiency of the present technique.

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Additional Metadata

Item Type:	Article
Divisions:	Faculty of Science
DOI Number:	https://doi.org/10.1016/j.newast.2014.06.008
Publisher:	Elsevier
Keywords:	Wavelet analysis method; Chebyshev finite difference method; Lane–Emden type equations; Singular IVPs; Isothermal gas spheres
Depositing User:	Mohd Hafiz Che Mahasan
Date Deposited:	29 Jun 2016 03:24
Last Modified:	29 Jun 2016 03:24
Altmetrics:	http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1016/j.newast.2014.06.008
URI:	http://psasir.upm.edu.my/id/eprint/43543
Statistic Details:	View Download Statistic

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