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


Citation

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

Abstract / Synopsis

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.


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Additional Metadata

Item Type: Article
Divisions: Institute for Mathematical Research
DOI Number: https://doi.org/10.1155/2014/542809
Publisher: Hindawi Publishing Corporation
Keywords: Hydrodynamic dispersion equation; Mass transport equation; Variable fractional derivative
Depositing User: Nurul Ainie Mokhtar
Date Deposited: 21 Dec 2015 13:12
Last Modified: 21 Dec 2015 13:12
Altmetrics: http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1155/2014/542809
URI: http://psasir.upm.edu.my/id/eprint/34736
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