Title

Analytical solutions to a quasilinear differential equation related to the Lane-Emden equation of the second kind

Authors

Authors

R. A. Van Gorder

Comments

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Abbreviated Journal Title

Celest. Mech. Dyn. Astron.

Keywords

Lane-Emden equation of the second kind; Bonnor-Ebert gas spheres; Perturbation method; delta-expansion method; Quasilinear differential; equation; QUANTUM-FIELD THEORY; LOCAL GAUGE-THEORIES; DELTA-EXPANSION; NONPERTURBATIVE CALCULATION; PERTURBATIVE APPROACH; SERIES; MODEL; Astronomy & Astrophysics; Mathematics, Interdisciplinary Applications

Abstract

We apply the delta-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.

Journal Title

Celestial Mechanics & Dynamical Astronomy

Volume

109

Issue/Number

2

Publication Date

1-1-2011

Document Type

Article

DOI Link

http://dx.doi.org/10.1007/s10569-010-9318-y

Language

English

First Page

137

Last Page

145

WOS Identifier

WOS:000286662300002

ISSN

0923-2958

Recommended Citation

"Analytical solutions to a quasilinear differential equation related to the Lane-Emden equation of the second kind" (2011). Faculty Bibliography 2010s. 2028.
https://stars.library.ucf.edu/facultybib2010/2028