On the generalized mass transport equation to the concept of variable fractional derivative
type: Item
instance of: scholarly article
title: On the generalized mass transport equation to the concept of variable fractional derivative
zbMATH Open document ID: 1407.65092
DOI: 10.1155/2014/542809
author: Abdon Atangana
author: Adem Kilicman
published in: Mathematical Problems in Engineering
publication date: 2019-02-08T00:00:00Z
review text: Summary: 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.
Mathematics Subject Classification ID: 65M06
Mathematics Subject Classification ID: 35R11
zbMATH DE Number: 7016708
Wikidata QID: Q57259132
describes a project that uses: FODE
describes a project that uses: ma2dfc
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/542809
OpenAlex ID: W2018522825
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description: scientific article; zbMATH DE number 7016708