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

    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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