Research Article

Classical Way of Looking at the Lane-Emden Equation

Volume: 68 Number: 1 February 1, 2019
EN

Classical Way of Looking at the Lane-Emden Equation

Abstract

In this article, the well-known approximate and analytical solutions of the Lane-Emden equation applying Taylor series expansion are derived. To the best of author's knowledge nobody has overcome the singularity of the Lane-Emden equation at the origin as it is carried out here

Keywords

References

  1. Lane J. H., On the theoretical temperature of the sun under the hypothesis of a gaseous mass maintaining its volume by its internal heat and depending on the laws of gases known to terrestrial experiment, Am. J. Sci. Arts (1870), 50, 57-74.
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  4. Davis H. T., Introduction to Nonlinear Differential and Integral Equations, Dover Publications, New York, 1962.
  5. Horedt G. P., Polytropes Applications in Astrophysics and Related Fields, Kluwer Academic Publishers, Dordrecht, 2004.
  6. Seidov S. F., and Kuzakhmedov R. Kh., Solution of the Lane-Emden problem in series, Sov. Astron. (1977), 21, 399-400.
  7. Wazwaz A. M., A new algorithm for solving differential equations of Lane-Emden type, Appl. Math. Comput. (2001), 118, 287-310.
  8. Liao S., A new analytic algorithm of Lane-Emden type equations, Appl. Math. Comput. (2003), 142, 1-16.

Details

Primary Language

English

Subjects

-

Journal Section

Research Article

Publication Date

February 1, 2019

Submission Date

December 9, 2016

Acceptance Date

November 27, 2017

Published in Issue

Year 2019 Volume: 68 Number: 1

APA
Tanriverdi, T. (2019). Classical Way of Looking at the Lane-Emden Equation. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, 68(1), 271-276. https://doi.org/10.31801/cfsuasmas.451619
AMA
1.Tanriverdi T. Classical Way of Looking at the Lane-Emden Equation. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2019;68(1):271-276. doi:10.31801/cfsuasmas.451619
Chicago
Tanriverdi, Tanfer. 2019. “Classical Way of Looking at the Lane-Emden Equation”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 68 (1): 271-76. https://doi.org/10.31801/cfsuasmas.451619.
EndNote
Tanriverdi T (February 1, 2019) Classical Way of Looking at the Lane-Emden Equation. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 68 1 271–276.
IEEE
[1]T. Tanriverdi, “Classical Way of Looking at the Lane-Emden Equation”, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., vol. 68, no. 1, pp. 271–276, Feb. 2019, doi: 10.31801/cfsuasmas.451619.
ISNAD
Tanriverdi, Tanfer. “Classical Way of Looking at the Lane-Emden Equation”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 68/1 (February 1, 2019): 271-276. https://doi.org/10.31801/cfsuasmas.451619.
JAMA
1.Tanriverdi T. Classical Way of Looking at the Lane-Emden Equation. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2019;68:271–276.
MLA
Tanriverdi, Tanfer. “Classical Way of Looking at the Lane-Emden Equation”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, vol. 68, no. 1, Feb. 2019, pp. 271-6, doi:10.31801/cfsuasmas.451619.
Vancouver
1.Tanfer Tanriverdi. Classical Way of Looking at the Lane-Emden Equation. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2019 Feb. 1;68(1):271-6. doi:10.31801/cfsuasmas.451619

Cited By

Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics

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