On the solution of a nonlocal problem

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dc.contributor.authorVolkov, E. A.
dc.contributor.authorDosiyev, A. A.
dc.contributor.authorBuranay, S. C.
dc.date.accessioned2026-02-06T18:37:20Z
dc.date.issued2013
dc.departmentDoğu Akdeniz Üniversitesi
dc.description.abstractIn a rectangular domain, we consider the Bitsadze-Samarskii nonlocal boundary value problem for the two-dimensional Poisson equation. The solution of this problem is defined as a solution of the local Dirichlet boundary value problem, by constructing a special method to find a function as the boundary value on the side of the rectangle, where the nonlocal condition was given. Further, the five point approximation of the Laplace operator is used for the realization of the proposed method. Numerical experiments are illustrated in the last section to support the analysis made. (C) 2013 Elsevier Ltd. All rights reserved.
dc.identifier.doi10.1016/j.camwa.2013.05.010
dc.identifier.endpage338
dc.identifier.issn0898-1221
dc.identifier.issn1873-7668
dc.identifier.issue3
dc.identifier.orcid0000-0001-9154-8116
dc.identifier.scopus2-s2.0-84880133967
dc.identifier.scopusqualityQ1
dc.identifier.startpage330
dc.identifier.urihttps://doi.org/10.1016/j.camwa.2013.05.010
dc.identifier.urihttps://hdl.handle.net/11129/12424
dc.identifier.volume66
dc.identifier.wosWOS:000322803600009
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherPergamon-Elsevier Science Ltd
dc.relation.ispartofComputers & Mathematics With Applications
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_WoS_20260204
dc.subjectBitsadze-Samarskii problem
dc.subjectElliptic equation
dc.subjectNonlocal boundary value problems
dc.subjectDifference scheme
dc.titleOn the solution of a nonlocal problem
dc.typeArticle

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