THERMAL SCIENCE

International Scientific Journal

Authors of this Paper

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Yan-Hong Liang

,

Kang-Jia Wang

TAYLOR SERIES SOLUTION FOR THE NON-LINEAR EMDEN-FOWLER EQUATIONS

ABSTRACT
The well-known Emden-Fowler equation is widely used to model many problems arising in thermal science, physics, and astrophysics. Although there are some analytical solutions available, the high requirement for mathematical knowledge has hindered researchers from direct applications. This paper suggests a straightforward method with a simple solution process and highly accurate results. Two examples are given to verify the accuracy and reliability of the proposed method.
KEYWORDS
Emden-Fowler equations, Taylor series method, astrophysics, non-linear differential equation
PAPER SUBMITTED: 2020-06-08
PAPER REVISED: 2021-10-02
PAPER ACCEPTED: 2021-10-02
PUBLISHED ONLINE: 2022-07-16
DOI REFERENCE: https://doi.org/10.2298/TSCI2203693L
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2022, VOLUME 26, ISSUE Issue 3, PAGES [2693 - 2697]
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Taylor series solution for the non-linear Emden-Fowler equations

© 2024 Society of Thermal Engineers of Serbia. Published by the Vinča Institute of Nuclear Sciences, National Institute of the Republic of Serbia, Belgrade, Serbia. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International licence