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Math. Comput. Appl. 1999, 4(3), 289-295; doi:10.3390/mca4030289

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
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Published: 1 December 1999
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Abstract

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).

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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.

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Math. Comput. Appl. EISSN 2297-8747 Published by MDPI AG, Basel, Switzerland RSS E-Mail Table of Contents Alert
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