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april 2017 A new analytical technique for solving Lane - Emden type equations arising in astrophysics
Sinan Deniz, Necdet Bildik
Bull. Belg. Math. Soc. Simon Stevin 24(2): 305-320 (april 2017). DOI: 10.36045/bbms/1503453712

Abstract

Lane - Emden type equations are nonlinear differential equations which represent many scientific phenomena in astrophysics and mathematical physics. In this study, a new analytic approximate technique for addressing nonlinear problems, namely the optimal perturbation iteration method, is introduced and implemented to singular initial value Lane-Emden type problems to test the effectiveness and performance of the method. This technique provides us to adjust the convergence regions when necessary.Comparing different methods reveals that the proposed method is highly accurate and has great potential to be a new kind of powerful analytical tool for Lane-Emden type equations.

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Sinan Deniz. Necdet Bildik. "A new analytical technique for solving Lane - Emden type equations arising in astrophysics." Bull. Belg. Math. Soc. Simon Stevin 24 (2) 305 - 320, april 2017. https://doi.org/10.36045/bbms/1503453712

Information

Published: april 2017
First available in Project Euclid: 23 August 2017

zbMATH: 06850673
MathSciNet: MR3694005
Digital Object Identifier: 10.36045/bbms/1503453712

Subjects:
Primary: 34A12, 34E20, 85A04

Rights: Copyright © 2017 The Belgian Mathematical Society

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Vol.24 • No. 2 • april 2017
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