A model of the groundwater flowing within a leaky aquifer using the concept of local variable order derivative


Authors

Abdon Atangana - Institute for groundwater Studies, Faculty of Natural and Agricultural Sciences, University of the Free State, 9300 Bloemfontein, South Africa. Emile Franc Doungmo Goufo - Department of Mathematical Sciences, University of South Africa, Florida Sciences Campus, 003 South Africa.


Abstract

One of the big problems we encounter in groundwater modeling is to provide a correct model that can be used to describe the movement of water via a particular geological formation. In this work, in order to further enhance the model of groundwater flow in a leaky aquifer, we made use of a new derivative called the local variable order derivative. The derivative includes into mathematical formula the complexity of the leaky aquifer, which is for instance the variation of the aquifer, or the heterogeneity of the leaky aquifer. The modified equation was solved using the concept of iterative method. We presented in detail the stability and the uniqueness of the special solution.


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ISRP Style

Abdon Atangana, Emile Franc Doungmo Goufo, A model of the groundwater flowing within a leaky aquifer using the concept of local variable order derivative, Journal of Nonlinear Sciences and Applications, 8 (2015), no. 5, 763--775

AMA Style

Atangana Abdon, Goufo Emile Franc Doungmo, A model of the groundwater flowing within a leaky aquifer using the concept of local variable order derivative. J. Nonlinear Sci. Appl. (2015); 8(5):763--775

Chicago/Turabian Style

Atangana, Abdon, Goufo, Emile Franc Doungmo. "A model of the groundwater flowing within a leaky aquifer using the concept of local variable order derivative." Journal of Nonlinear Sciences and Applications, 8, no. 5 (2015): 763--775


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