An efficient computational approach to solving singular initial value problems for Lane-Emden type equations

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:290

Article

Smarda, Zdenek^1,2  Khan, Yasir³ 

[1] Brno Univ Technol, Fac Elect Engn & Commun, Dept Math, Technicka 8, Brno 61600, Czech Republic

[2] Brno Univ Technol, CEITEC BUT, Brno 61600, Czech Republic

[3] Univ Hafr Al Batin, Dept Math, Hafar al Batin 31991, Saudi Arabia

关键词: Lane-Emden equation;    Polytropic equation;    Isothermal gas sphere equation;    Differential transformation method;   

DOI  :  10.1016/j.cam.2015.04.045

来源: Elsevier

【 摘 要 】

In the paper, we present the new computational approach for solving singular initial problems for the Lane-Emden type equations with nonlinear terms based on the differential transformation method (DTM) and the modified general formula for the Adomian polynomials with differential transformation components. To illustrate the capability and efficiency of the method three examples are given. The results obtained in this work are also compared with numerical results of Heydari et al. (2012), Wazwaz (2005), Singh et al. (2009) and the standard DTM as well. These results show that the proposed technique, without linearization or small perturbation, is very effective and convenient for solving of linear and nonlinear differential equations. (C) 2015 Elsevier B.V. All rights reserved.

【 授权许可】

Free