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Article

Group Classification of Coupled Diffusion System with Applications in Soil Science

by
M. Molati
* and
F.M. Mahomed
*
Centre for Differential Equations, Continuum Mechanics and Applications, School of Computational and Applied Mathematics, University of the Witwatersrand, Johannesburg, Private Bag 3, Wits 2050, South Africa
*
Authors to whom correspondence should be addressed.
Math. Comput. Appl. 2010, 15(4), 697-708; https://doi.org/10.3390/mca15040697
Published: 1 December 2010
Versions Notes

Abstract

We perform a complete group classification of a coupled system of diffusion equations with applications in soil science. The canonical forms of the lowdimensional Lie algebras and the Lie algebras of higher dimension provide a means to specify the diffusion coefficients completely.
Keywords: Group classification; Coupled diffusion; Lie algebra Group classification; Coupled diffusion; Lie algebra

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MDPI and ACS Style

Molati, M.; Mahomed, F.M. Group Classification of Coupled Diffusion System with Applications in Soil Science. Math. Comput. Appl. 2010, 15, 697-708. https://doi.org/10.3390/mca15040697

AMA Style

Molati M, Mahomed FM. Group Classification of Coupled Diffusion System with Applications in Soil Science. Mathematical and Computational Applications. 2010; 15(4):697-708. https://doi.org/10.3390/mca15040697

Chicago/Turabian Style

Molati, M., and F.M. Mahomed. 2010. "Group Classification of Coupled Diffusion System with Applications in Soil Science" Mathematical and Computational Applications 15, no. 4: 697-708. https://doi.org/10.3390/mca15040697

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