Numerical Solution of a Kind of Fractional Parabolic Equations via Two Difference Schemes | Zendy

Abdon Atangana | Zendy; Dumitru Băleanu | Zendy

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Numerical Solution of a Kind of Fractional Parabolic Equations via Two Difference Schemes

Author(s) -

Abdon Atangana,

Dumitru Băleanu

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 - 10.1155/2013/828764

Subject(s) - mathematics , convergence (economics) , stability (learning theory) , parabolic partial differential equation , fractional calculus , mathematical analysis , heat equation , partial differential equation , machine learning , computer science , economics , economic growth

A kind of parabolic equation was extended to the concept of fractional calculus. The resulting equation is, however, difficult to handle analytically. Therefore, we presented the numerical solution via the explicit and the implicit schemes. We presented together the stability and convergence of this time-fractional parabolic equation with two difference schemes. The explicit and the implicit schemes in this case are stable under some conditions

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