On the Generalized Mass Transport Equation to the Concept of Variable Fractional Derivative | Zendy

Abdon Atangana | Zendy; Adem Kılıçman | Zendy

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On the Generalized Mass Transport Equation to the Concept of Variable Fractional Derivative

Author(s) -

Abdon Atangana,

Adem Kılıçman

Publication year - 2014

Publication title -

mathematical problems in engineering

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.262

H-Index - 62

eISSN - 1026-7077

pISSN - 1024-123X

DOI - 10.1155/2014/542809

Subject(s) - convergence (economics) , mathematics , stability (learning theory) , integer (computer science) , variable (mathematics) , derivative (finance) , dispersion (optics) , fractional calculus , scheme (mathematics) , mathematical analysis , constant (computer programming) , physics , computer science , machine learning , financial economics , optics , economics , programming language , economic growth

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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