Next Article in Journal
Numerical Study of Collision Efficiency of Dust Particles
Previous Article in Journal
On Statistically Convergent Sequences of Fuzzy Numbers
Article Menu

Article Versions

Export Article

Mathematical and Computational Applications is published by MDPI from Volume 21 Issue 1 (2016). Articles in this Issue were published by another publisher in Open Access under a CC-BY (or CC-BY-NC-ND) licence. Articles are hosted by MDPI on as a courtesy and upon agreement with the previous journal publisher.
Open AccessArticle
Math. Comput. Appl. 1999, 4(3), 289-295;

Preliminary Group Classification of y" = f(x)y2

Department of Computational and Applied Mathematics & Centre for Differential Equations, Continuum Mechanics and Applications, University of the Witwatersrand, Wits 2050, Johannesburg, South Africa
Author to whom correspondence should be addressed.
Published: 1 December 1999
PDF [1988 KB, uploaded 5 April 2016]


Direct group classification of y" = f(x)y2 fails because the classifying condition is a third-order non-linear integro-differential equation for which a closed form solution is unknown. This fact prevents a complete group classification. In this paper we resort to the method of preliminary group classification in order to perform a partial group classification of the ordinary differential equation (ode) mentioned above and obtain new classes that admit symmetry.
This is an open access article distributed under the Creative Commons Attribution License (CC BY 3.0).

Share & Cite This Article

MDPI and ACS Style

Soh, C.W.; Mahhomed, F.M. Preliminary Group Classification of y" = f(x)y2. Math. Comput. Appl. 1999, 4, 289-295.

Show more citation formats Show less citations formats

Article Metrics

Article Access Statistics



[Return to top]
Math. Comput. Appl. EISSN 2297-8747 Published by MDPI AG, Basel, Switzerland RSS E-Mail Table of Contents Alert
Back to Top