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

Abdon Atangana | Zendy; Suares Clovis Oukouomi Noutchie | Zendy

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

Author(s) -

Abdon Atangana,

Suares Clovis Oukouomi Noutchie

Publication year - 2013

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2013/691060

Subject(s) - mathematics , aquifer , stability (learning theory) , variable (mathematics) , convergence (economics) , groundwater flow equation , time derivative , mathematical analysis , spacetime , derivative (finance) , groundwater , geotechnical engineering , geology , groundwater flow , computer science , physics , financial economics , economics , quantum mechanics , machine learning , economic growth

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

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