High order approximation of the inverse elliptic problem with Dirichlet-Neumann conditions | Zendy

Charyyar Ashyralyyev | Zendy

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High order approximation of the inverse elliptic problem with Dirichlet-Neumann conditions

Author(s) -

Charyyar Ashyralyyev

Publication year - 2014

Publication title -

filomat

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.449

H-Index - 34

eISSN - 2406-0933

pISSN - 0354-5180

DOI - 10.2298/fil1405947a

Subject(s) - mathematics , dirichlet distribution , stability (learning theory) , inverse , inverse problem , order (exchange) , dirichlet problem , elliptic curve , von neumann architecture , mathematical analysis , pure mathematics , boundary value problem , geometry , finance , machine learning , computer science , economics

Inverse problem for the multidimensional elliptic equation with Dirichlet-Neumann conditions is considered. High order of accuracy difference schemes for the solution of inverse problem are presented. Stability, almost coercive stability and coercive stability estimates of the third and fourth orders of accuracy difference schemes for this problem are obtained. Numerical results in a two dimensional case are given.

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