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Journal of Applied Mathematics
Volume 2013, Article ID 976271, 6 pages
http://dx.doi.org/10.1155/2013/976271
Research Article

Symbolic Implementation of Preliminary Group Classiffication for Ordinary Differential Equations

Astrophysics and Cosmology Research Unit, School of Mathematics, Statistics and Computer Science, University of KwaZulu-Natal, Private Bag X54001, Durban 4001, South Africa

Received 5 May 2013; Accepted 12 August 2013

Academic Editor: Qiankun Song

Copyright © 2013 K. S. Govinder. 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

We apply the method of preliminary group classification to ordinary differential equations of the form We show how this method can be implemented via the popular symmetry analysis package PROGRAM LIE provided that the package is supplemented with a small file. We then apply this method to an extension of the generalised Emden-Fowler equation given by = .