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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 mdpi.com as a courtesy and upon agreement with the previous journal publisher.
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Math. Comput. Appl. 2002, 7(1), 1-4; https://doi.org/10.3390/mca7010001

Group Classification and Some Similarity Solutions for a Nonlinear Filtration Equation

Department of Mechanical Engineering, Celal Bayar University, 45140 Muradiye, Manisa, Turkey
Published: 1 April 2002
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Abstract

A nonlinear filtration equation in which the filter coefficient is an arbitrary function of the specific deposit is considered. Lie Group theory is applied to the coupled system of partial differential equations. Group classification is performed with respect to the arbitrary filter coefficient. Some similarity solutions are constructed using the symmetries.
Keywords: Filtration equation; Lie Group Theory; Group Classification; Similarity Solutions Filtration equation; Lie Group Theory; Group Classification; Similarity Solutions
This is an open access article distributed under the Creative Commons Attribution License (CC BY 3.0).
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Pakdemirli, M. Group Classification and Some Similarity Solutions for a Nonlinear Filtration Equation. Math. Comput. Appl. 2002, 7, 1-4.

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