Oscillating Solutions of the Lane-Emden Equation for Polytropic Indices m = 0 and 1

Tanfer Tanriverdi *

Department of Mathematics, Faculty of Arts and Sciences, Harran University, Sanliurfa 63200, Turkey.

*Author to whom correspondence should be addressed.


Abstract

With new approach, trigonometric solutions of the well-known Lane-Emden equation for m = 0, 1 are derived. To the best of author's knowledge these trigonometric solutions oscillating are not reported in the existing literature yet. New solutions are compared with the classical ones.

Keywords: Lane-Emden equation, special equations, trigonometric solutions, exact solutions


How to Cite

Tanriverdi, Tanfer. 2017. “Oscillating Solutions of the Lane-Emden Equation for Polytropic Indices M = 0 and 1”. Journal of Advances in Mathematics and Computer Science 20 (3):1-5. https://doi.org/10.9734/BJMCS/2017/30543.

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