Title
An Elegant Perturbation Solution For The Lane-Emden Equation Of The Second Kind
Keywords
Methods: analytical; Stars: general; Stars: interiors
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 al. 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. © 2010 Elsevier B.V. All rights reserved.
Publication Date
2-1-2011
Publication Title
New Astronomy
Volume
16
Issue
2
Number of Pages
65-67
Document Type
Article
Personal Identifier
scopus
DOI Link
https://doi.org/10.1016/j.newast.2010.08.005
Copyright Status
Unknown
Socpus ID
77956404730 (Scopus)
Source API URL
https://api.elsevier.com/content/abstract/scopus_id/77956404730
STARS Citation
Van Gorder, Robert A., "An Elegant Perturbation Solution For The Lane-Emden Equation Of The Second Kind" (2011). Scopus Export 2010-2014. 3282.
https://stars.library.ucf.edu/scopus2010/3282