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Article

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

by
C. Wafo Soh
and
F. M. Mahhomed
*
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.
Math. Comput. Appl. 1999, 4(3), 289-295; https://doi.org/10.3390/mca4030289
Published: 1 December 1999
Versions Notes

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.

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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. https://doi.org/10.3390/mca4030289

AMA Style

Soh CW, Mahhomed FM. Preliminary Group Classification of y" = f(x)y2. Mathematical and Computational Applications. 1999; 4(3):289-295. https://doi.org/10.3390/mca4030289

Chicago/Turabian Style

Soh, C. Wafo, and F. M. Mahhomed. 1999. "Preliminary Group Classification of y" = f(x)y2" Mathematical and Computational Applications 4, no. 3: 289-295. https://doi.org/10.3390/mca4030289

APA Style

Soh, C. W., & Mahhomed, F. M. (1999). Preliminary Group Classification of y" = f(x)y2. Mathematical and Computational Applications, 4(3), 289-295. https://doi.org/10.3390/mca4030289

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