On the Generalized Mass Transport Equation to the Concept of Variable Fractional Derivative
Joint Authors
Rusagara, Innocent
Kiliçman, Adem
Source
Mathematical Problems in Engineering
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-03-05
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Rusagara, Innocent& Kiliçman, Adem. 2014. On the Generalized Mass Transport Equation to the Concept of Variable Fractional Derivative. Mathematical Problems in Engineering،Vol. 2014, no. 2014, pp.1-9.
https://search.emarefa.net/detail/BIM-480134
Modern Language Association (MLA)
Rusagara, Innocent& Kiliçman, Adem. On the Generalized Mass Transport Equation to the Concept of Variable Fractional Derivative. Mathematical Problems in Engineering No. 2014 (2014), pp.1-9.
https://search.emarefa.net/detail/BIM-480134
American Medical Association (AMA)
Rusagara, Innocent& Kiliçman, Adem. On the Generalized Mass Transport Equation to the Concept of Variable Fractional Derivative. Mathematical Problems in Engineering. 2014. Vol. 2014, no. 2014, pp.1-9.
https://search.emarefa.net/detail/BIM-480134
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-480134