Finite Difference Method for the Reverse Parabolic Problem | Zendy

Charyyar Ashyralyyev | Zendy; Ayfer Dural | Zendy; Yaşar Sözen | Zendy

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Finite Difference Method for the Reverse Parabolic Problem

Author(s) -

Charyyar Ashyralyyev,

Ayfer Dural,

Yaşar Sözen

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 - 10.1155/2012/294154

Subject(s) - mathematics , stability (learning theory) , mathematical analysis , finite difference method , finite difference , dirichlet boundary condition , boundary value problem , dirichlet distribution , partial differential equation , parabolic partial differential equation , finite difference coefficient , boundary (topology) , finite element method , mixed finite element method , physics , machine learning , computer science , thermodynamics

A finite difference method for the approximate solution of the reverse multidimensional parabolic differential equation with a multipoint boundary condition and Dirichlet condition is applied. Stability, almost coercive stability, and coercive stability estimates for the solution of the first and second orders of accuracy difference schemes are obtained. The theoretical statements are supported by the numerical example

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