Stability and Convergence of a Time-Fractional Variable Order Hantush Equation for a Deformable Aquifer

Joint Authors

Rusagara, Innocent
Oukouomi Noutchie, Suares Clovis

Source

Abstract and Applied Analysis

Issue

Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-8, 8 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2013-05-27

Country of Publication

Egypt

No. of Pages

8

Main Subjects

Mathematics

Abstract EN

The medium through which the groundwater moves varies in time and space.

The Hantush equation describes the movement of groundwater through a leaky aquifer.

To include explicitly the deformation of the leaky aquifer into the mathematical formulation, we modify the equation by replacing the partial derivative with respect to time by the time-fractional variable order derivative.

The modified equation is solved numerically via the Crank-Nicolson scheme.

The stability and the convergence in this case are presented in details.

American Psychological Association (APA)

Rusagara, Innocent& Oukouomi Noutchie, Suares Clovis. 2013. Stability and Convergence of a Time-Fractional Variable Order Hantush Equation for a Deformable Aquifer. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-8.
https://search.emarefa.net/detail/BIM-490884

Modern Language Association (MLA)

Rusagara, Innocent& Oukouomi Noutchie, Suares Clovis. Stability and Convergence of a Time-Fractional Variable Order Hantush Equation for a Deformable Aquifer. Abstract and Applied Analysis No. 2013 (2013), pp.1-8.
https://search.emarefa.net/detail/BIM-490884

American Medical Association (AMA)

Rusagara, Innocent& Oukouomi Noutchie, Suares Clovis. Stability and Convergence of a Time-Fractional Variable Order Hantush Equation for a Deformable Aquifer. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-8.
https://search.emarefa.net/detail/BIM-490884

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-490884