Journal
COMPUTER PHYSICS COMMUNICATIONS
Volume 184, Issue 9, Pages 2169-2177Publisher
ELSEVIER
DOI: 10.1016/j.cpc.2013.04.013
Keywords
Generalized Lane-Emden equations; White dwarfs; Emden-Fowler equation; Haar wavelets; Quasi-linearization technique
Funding
- Sant Longowal Institute of Engineering and Technology (SLIET), Longowal, India
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This paper provides a technique to investigate the solutions of generalized nonlinear singular Lane-Emden equations of first and second kinds by using a Haar wavelet quasi-linearization approach. The Lane-Emden equation is widely studied and is treated as a challenging equation in the theory of stellar structure for the gravitational potential of a self gravitating, spherically symmetric polytropic fluid which models the thermal behavior of a spherical cloud of gas acting under the mutual attraction of its molecules and subject to the classical laws of thermodynamics. The proposed method is based on the quasi-linearization approximation and replacement of an unknown function through a truncated series of Haar wavelet series of the function. The method is shown to be very reliable and easy to capture the solutions of generalized nonlinear singular Lane-Emden equations. The applicability of the method is shown by numerical tests on various cases of the generalized Lane-Emden equation and solutions are also reported in the neighborhood of a singular point. (C) 2013 Elsevier B.V. All rights reserved.
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