Title

An elegant perturbation solution for the Lane-Emden equation of the second kind

Authors

Authors

R. A. Van Gorder

Comments

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Abbreviated Journal Title

New Astron.

Keywords

Methods analytical; Stars general; Stars interiors; QUANTUM-FIELD THEORY; LOCAL GAUGE-THEORIES; DELTA-EXPANSION; NONPERTURBATIVE CALCULATION; MODEL; Astronomy & Astrophysics

Abstract

Perturbation solutions are obtained for the Lane-Emden equation of the second kind which describe Bonnor-Ebert gas spheres In particular, we employ the field-theoretic perturbative procedure due to Bender et at to obtain analytical solutions to the nonlinear initial value problem We find that the method allows one to construct perturbation solutions which converge rapidly to the true solutions in many cases, as it allows one to more accurately represent the influence of nonlinear terms in the linearized equations The rapid convergence of the method results in qualitatively accurate solutions in relatively few iterations. (C) 2010 Elsevier B.V. All rights reserved

Journal Title

New Astronomy

Volume

16

Issue/Number

2

Publication Date

1-1-2011

Document Type

Article

Language

English

First Page

65

Last Page

67

WOS Identifier

WOS:000283407500002

ISSN

1384-1076

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