A Modified Groundwater Flow Model Using the Space Time Riemann-Liouville Fractional Derivatives Approximation
Joint Authors
Rusagara, Innocent
Oukouomi Noutchie, Suares Clovis
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-05-08
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
The notion of uncertainty in groundwater hydrology is of great importance as it is known to result in misleading output when neglected or not properly accounted for.
In this paper we examine this effect in groundwater flow models.
To achieve this, we first introduce the uncertainties functions u as function of time and space.
The function u accounts for the lack of knowledge or variability of the geological formations in which flow occur (aquifer) in time and space.
We next make use of Riemann-Liouville fractional derivatives that were introduced by Kobelev and Romano in 2000 and its approximation to modify the standard version of groundwater flow equation.
Some properties of the modified Riemann-Liouville fractional derivative approximation are presented.
The classical model for groundwater flow, in the case of density-independent flow in a uniform homogeneous aquifer is reformulated by replacing the classical derivative by the Riemann-Liouville fractional derivatives approximations.
The modified equation is solved via the technique of green function and the variational iteration method.
American Psychological Association (APA)
Rusagara, Innocent& Oukouomi Noutchie, Suares Clovis. 2014. A Modified Groundwater Flow Model Using the Space Time Riemann-Liouville Fractional Derivatives Approximation. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-7.
https://search.emarefa.net/detail/BIM-1014107
Modern Language Association (MLA)
Rusagara, Innocent& Oukouomi Noutchie, Suares Clovis. A Modified Groundwater Flow Model Using the Space Time Riemann-Liouville Fractional Derivatives Approximation. Abstract and Applied Analysis No. 2014 (2014), pp.1-7.
https://search.emarefa.net/detail/BIM-1014107
American Medical Association (AMA)
Rusagara, Innocent& Oukouomi Noutchie, Suares Clovis. A Modified Groundwater Flow Model Using the Space Time Riemann-Liouville Fractional Derivatives Approximation. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-7.
https://search.emarefa.net/detail/BIM-1014107
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1014107