Mathematical Problems in Engineering
Volume 2012 (2012), Article ID 259494, 15 pages
Research Article

Approximate Analytic and Numerical Solutions to Lane-Emden Equation via Fuzzy Modeling Method

1School of Control Science and Engineering, Dalian University of Technology, Dalian 116024, China
2Department of Quantitative Economics, Dongbei University of Finance and Economics, Dalian 116025, China
3School of Electrical and Electronic Engineering, The University of Adelaide, Adelaide, SA 5005, Australia
4School of Engineering and Science, Victoria University, Melbourne, VIC 8001, Australia
5Department of Engineering, Faculty of Technology and Science, University of Agder, 4898 Grimstad, Norway

Received 19 August 2012; Accepted 21 October 2012

Academic Editor: Mohammed Chadli

Copyright © 2012 De-Gang Wang 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.


A novel algorithm, called variable weight fuzzy marginal linearization (VWFML) method, is proposed. This method can supply approximate analytic and numerical solutions to Lane-Emden equations. And it is easy to be implemented and extended for solving other nonlinear differential equations. Numerical examples are included to demonstrate the validity and applicability of the developed technique.