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Article

Group Classification and Some Similarity Solutions for a Nonlinear Filtration Equation

by
Mehmet Pakdemirli
Department of Mechanical Engineering, Celal Bayar University, 45140 Muradiye, Manisa, Turkey
Math. Comput. Appl. 2002, 7(1), 1-4; https://doi.org/10.3390/mca7010001
Published: 1 April 2002

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

Share and Cite

MDPI and ACS Style

Pakdemirli, M. Group Classification and Some Similarity Solutions for a Nonlinear Filtration Equation. Math. Comput. Appl. 2002, 7, 1-4. https://doi.org/10.3390/mca7010001

AMA Style

Pakdemirli M. Group Classification and Some Similarity Solutions for a Nonlinear Filtration Equation. Mathematical and Computational Applications. 2002; 7(1):1-4. https://doi.org/10.3390/mca7010001

Chicago/Turabian Style

Pakdemirli, Mehmet. 2002. "Group Classification and Some Similarity Solutions for a Nonlinear Filtration Equation" Mathematical and Computational Applications 7, no. 1: 1-4. https://doi.org/10.3390/mca7010001

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