On a difference scheme of second order of accuracy for the Bitsadze-Samarskii type nonlocal boundary-value problem

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dc.authoridAshyralyev, Allaberen/0000-0002-4153-6624
dc.contributor.authorAshyralyev, Allaberen
dc.contributor.authorOzturk, Elif
dc.date.accessioned2025-01-27T21:05:37Z
dc.date.available2025-01-27T21:05:37Z
dc.date.issued2014
dc.departmentÇanakkale Onsekiz Mart Üniversitesi
dc.description.abstractIn this study, the Bitsadze-Samarskii type nonlocal boundary-value problem with integral condition for an elliptic differential equation in a Hilbert space H with self-adjoint positive definite operator A is considered. The second order of the accuracy difference scheme for the approximate solutions of this nonlocal boundary-value problem is presented. The well-posedness of this difference scheme in Holder spaces with a weight is proved. The theoretical statements for the solution of this difference scheme are supported by the results of numerical example.
dc.identifier.doi10.1186/1687-2770-2014-14
dc.identifier.issn1687-2770
dc.identifier.scopus2-s2.0-84899829065
dc.identifier.scopusqualityQ1
dc.identifier.urihttps://doi.org/10.1186/1687-2770-2014-14
dc.identifier.urihttps://hdl.handle.net/20.500.12428/27732
dc.identifier.wosWOS:000333595900002
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherSpringer International Publishing Ag
dc.relation.ispartofBoundary Value Problems
dc.relation.publicationcategoryinfo:eu-repo/semantics/openAccess
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_WoS_20250125
dc.subjectwell-posedness
dc.subjectdifference scheme
dc.subjectelliptic equation
dc.titleOn a difference scheme of second order of accuracy for the Bitsadze-Samarskii type nonlocal boundary-value problem
dc.typeArticle

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