期刊
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
卷 290, 期 -, 页码 65-73出版社
ELSEVIER
DOI: 10.1016/j.cam.2015.04.045
关键词
Lane-Emden equation; Polytropic equation; Isothermal gas sphere equation; Differential transformation method
资金
- Faculty of Electrical Engineering and Communication, Brno University of Technology [FEKT-S-14-2200]
- CEITEC-Central European Institute of Technology
- European Regional Development Fund [CZ.1.05/1.1.00/02.0068]
- Hafr Al-Batin University, Saudi Arabia
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.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据