Title

Analytical Solutions To A Quasilinear Differential Equation Related To The Lane-Emden Equation Of The Second Kind

Keywords

Bonnor-Ebert gas spheres; Lane-Emden equation of the second kind; Perturbation method; Quasilinear differential equation; δ-expansion method

Abstract

We apply the δ-expansion method to a transformed Lane-Emden equation. The results are then transformed back, and we recover analytical solutions to the Lane-Emden equation of the second kind (which describes Bonnor-Ebert gas spheres) in a special case. The rapid convergence of the method results in qualitatively accurate solutions in relatively few iterations, as we see when we compare the obtained analytical solutions to numerical results. © 2010 Springer Science+Business Media B.V.

Publication Date

2-1-2011

Publication Title

Celestial Mechanics and Dynamical Astronomy

Volume

109

Issue

2

Number of Pages

137-145

Document Type

Article

Personal Identifier

scopus

DOI Link

https://doi.org/10.1007/s10569-010-9318-y

Socpus ID

79251626328 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/79251626328

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