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On the generalized mass transport equation to the concept of variable fractional derivative

Atangana, Abdon and Kilicman, Adem (2014) On the generalized mass transport equation to the concept of variable fractional derivative. Mathematical Problems in Engineering, 2014 . art. no. 542809. pp. 1-9. ISSN 1024-123X; ESSN: 1563-5147

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Abstract

The hydrodynamic dispersion equation was generalized using the concept of variational order derivative. The modified equation was numerically solved via the Crank-Nicholson scheme. The stability and convergence of the scheme in this case were presented. The numerical simulations showed that, the modified equation is more reliable in predicting the movement of pollution in the deformable aquifers, than the constant fractional and integer derivatives.

Item Type:Article
Keyword:Hydrodynamic dispersion equation; Mass transport equation; Variable fractional derivative
Faculty or Institute:Institute for Mathematical Research
Publisher:Hindawi Publishing Corporation
DOI Number:10.1155/2014/542809
Altmetrics:http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1155/2014/542809
ID Code:34736
Deposited By: Nurul Ainie Mokhtar
Deposited On:21 Dec 2015 21:12
Last Modified:21 Dec 2015 21:12

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