Modelling the movement of groundwater pollution with variable order derivative


Authors

S. N. Kameni - African Institute for Mathematical Sciences (AIMS), P. O. Box 608, Limbe Crystal Gardens, South West Region, Cameroon. J. D. Djida - African Institute for Mathematical Sciences (AIMS), P. O. Box 608, Limbe Crystal Gardens, South West Region, Cameroon. A. Atangana - Institute for Groundwater Studies, Faculty of Natural and Agricultural Sciences, University of the Free State, 9301, Bloemfontein, South Africa.


Abstract

In this paper, a new concept of variable differentiation is used to revisit the model of groundwater pollution. The new variable order derivation has a non-singular kernel and can be used for analytical and numerical purposes. The novel model is solved via Fourier transform method. We solve numerically the new equation using the implicit finite difference scheme and study the stability and convergence of that scheme.


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ISRP Style

S. N. Kameni, J. D. Djida, A. Atangana, Modelling the movement of groundwater pollution with variable order derivative, Journal of Nonlinear Sciences and Applications, 10 (2017), no. 10, 5422--5432

AMA Style

Kameni S. N., Djida J. D., Atangana A., Modelling the movement of groundwater pollution with variable order derivative. J. Nonlinear Sci. Appl. (2017); 10(10):5422--5432

Chicago/Turabian Style

Kameni, S. N., Djida, J. D., Atangana, A.. "Modelling the movement of groundwater pollution with variable order derivative." Journal of Nonlinear Sciences and Applications, 10, no. 10 (2017): 5422--5432


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