Title
An elegant perturbation solution for the Lane-Emden equation of the second kind
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
ISSN
1384-1076
Recommended Citation
"An elegant perturbation solution for the Lane-Emden equation of the second kind" (2011). Faculty Bibliography 2010s. 2029.
https://stars.library.ucf.edu/facultybib2010/2029
Comments
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