Stability of Difference Schemes for Fractional Parabolic PDE with the Dirichlet‐Neumann Conditions | Zendy

Zafer Çakir | Zendy

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Stability of Difference Schemes for Fractional Parabolic PDE with the Dirichlet‐Neumann Conditions

Author(s) -

Zafer Çakir

Publication year - 2012

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 - 10.1155/2012/463746

Subject(s) - mathematics , stability (learning theory) , dirichlet distribution , neumann boundary condition , parabolic partial differential equation , mathematical analysis , partial differential equation , dirichlet boundary condition , boundary value problem , computer science , machine learning

The stable difference schemes for the fractional parabolic equation with Dirichlet and Neumannboundary conditions are presented. Stability estimates and almost coercive stability estimates with ln (1/(+|ℎ|)) for the solution of these difference schemes are obtained. A procedure of modified Gauss elimination method is used for solving these difference schemes of one-dimensional fractional parabolic partial differential equations

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