Discrete Dynamics in Nature and Society
Volume 2011 (2011), Article ID 479396, 9 pages
http://dx.doi.org/10.1155/2011/479396
Research Article

The Numerical Method for Solving Differential Equations of Lane-Emden Type by Padé Approximation

Muhammed Yiğider,1 Khatereh Tabatabaei,2 and Ercan Çelik3

1Department of Mathematics, Faculty of Art and Science, Erzincan University, 24100 Erzincan, Turkey
2Department of Mathematics, Young Researchers Club, Azad University, 55518/134 Bonab, Iran
3Department of Mathematics, Faculty of Science, Atatürk University, 25240 Erzurum, Turkey

Received 13 January 2011; Accepted 22 February 2011

Academic Editor: Ibrahim Yalcinkaya

Copyright © 2011 Muhammed Yiğider et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

Numerical solution differential equation of Lane-Emden type is considered by Padé approximation. We apply these method to two examples. First differential equation of Lane-Emden type has been converted to power series by one-dimensional differential transformation, then the numerical solution of equation was put into Padé series form. Thus, we have obtained numerical solution differential equation of Lane-Emden type.