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Abstract and Applied Analysis
Volume 2014, Article ID 735831, 8 pages
Research Article

Using an Effective Numerical Method for Solving a Class of Lane-Emden Equations

1Department of Mathematics, Inner Mongolia University of Technology, Hohhot 010051, China
2Jining Teachers College, Wūlánchábù, Inner Mongolia 012000, China

Received 26 March 2014; Revised 12 May 2014; Accepted 22 May 2014; Published 18 June 2014

Academic Editor: Igor Leite Freire

Copyright © 2014 Yulan 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.


We use the reproducing kernel method to solve the well-known classes of Lane-Emden-type equations. These classes of equations have the form of Lane-Emden problem. Comparing the results of the reproducing kernel method with the analytical solutions by means of some typical examples, we can affirm that the reproducing kernel method is an efficient and accurate method.