Bulletin of the Belgian Mathematical Society - Simon Stevin

A new analytical technique for solving Lane - Emden type equations arising in astrophysics

Sinan Deniz and Necdet Bildik

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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.

Article information

Bull. Belg. Math. Soc. Simon Stevin, Volume 24, Number 2 (2017), 305-320.

First available in Project Euclid: 23 August 2017

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Digital Object Identifier

Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 34E20: Singular perturbations, turning point theory, WKB methods 34A12: Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions 85A04: General

Optimal perturbation iteration method singular initial value problems Lane-Emden equation


Deniz, Sinan; Bildik, Necdet. A new analytical technique for solving Lane - Emden type equations arising in astrophysics. Bull. Belg. Math. Soc. Simon Stevin 24 (2017), no. 2, 305--320. doi:10.36045/bbms/1503453712. https://projecteuclid.org/euclid.bbms/1503453712

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