FDM for Elliptic Equations with Bitsadze-Samarskii-Dirichlet Conditions | Zendy

Allaberen Ashyralyev | Zendy; Fatma Songül Özesenli Tetikoğlu | Zendy

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FDM for Elliptic Equations with Bitsadze-Samarskii-Dirichlet Conditions

Author(s) -

Allaberen Ashyralyev,

Fatma Songül Özesenli Tetikoğlu

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 - 10.1155/2012/454831

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

A numerical method is proposed for solving nonlocal boundary value problem for the multidimensional elliptic partial differential equation with the Bitsadze-Samarskii-Dirichlet condition. The first and second-orders of accuracy stable difference schemes for the approximate solution of this nonlocal boundary value problem are presented. The stability estimates, coercivity, and almost coercivity inequalities for solution of these schemes are established. The theoretical statements for the solutions of these nonlocal elliptic problems are supported by results of numerical examples

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