On Bitsadze-Samarskii type nonlocal boundary value problems for elliptic differential and difference equations: Well-posedness

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dc.contributor.authorAshyralyev, Allaberen
dc.contributor.buuauthorÖztürk, Elif
dc.contributor.departmentUludaǧ Üniversitesi/Fen Edebiyat Fakültesi/Matematik Bölümü.tr_TR
dc.contributor.scopusid54403582400tr_TR
dc.date.accessioned2021-11-23T12:01:16Z
dc.date.available2021-11-23T12:01:16Z
dc.date.issued2012-10-15
dc.description.abstractThe well-posedness of the Bitsadze-Samarskii type nonlocal boundary value problem in Hlder spaces with a weight is established. The coercivity inequalities for the solution of the nonlocal boundary value problem for elliptic equations are obtained. The stable second order of accuracy difference scheme for the approximate solution of the problem is presented. The well-posedness of this difference scheme in difference analogue of Hlder spaces is established. For applications, the almost coercivity and the coercivity estimates for solutions of difference schemes for elliptic equations are obtained.en_US
dc.identifier.citationAshyralyev, A. ve Öztürk, E. (2012). "On Bitsadze-Samarskii type nonlocal boundary value problems for elliptic differential and difference equations: Well-posedness". Applied Mathematics and Computation, 219(3), 1093-1107.en_US
dc.identifier.endpage1107tr_TR
dc.identifier.issn0096-3003
dc.identifier.issn1873-5649
dc.identifier.issue3tr_TR
dc.identifier.scopus2-s2.0-84867333658tr_TR
dc.identifier.startpage1093tr_TR
dc.identifier.urihttps://doi.org/10.1016/j.amc.2012.07.016
dc.identifier.urihttps://www.sciencedirect.com/science/article/pii/S0096300312007163
dc.identifier.urihttp://hdl.handle.net/11452/22782
dc.identifier.volume219tr_TR
dc.identifier.wos000310501700033tr_TR
dc.indexed.pubmedPubmeden_US
dc.indexed.scopusScopusen_US
dc.indexed.wosSCIEen_US
dc.language.isoenen_US
dc.publisherElsevier Scienceen_US
dc.relation.collaborationYurt içitr_TR
dc.relation.journalApplied Mathematics and Computationen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergitr_TR
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectMathematicsen_US
dc.subjectElliptic equationsen_US
dc.subjectNonlocal boundary value problemsen_US
dc.subjectDifference schemesen_US
dc.subjectStabilityen_US
dc.subjectSchemesen_US
dc.subjectSpacesen_US
dc.subjectCoercive forceen_US
dc.subjectConvergence of numerical methodsen_US
dc.subjectDifference equationsen_US
dc.subjectApproximate solutionen_US
dc.subjectElliptic equationsen_US
dc.subjectNonlocal boundary-value problemsen_US
dc.subjectSecond ordersen_US
dc.subjectWellposednessen_US
dc.subjectBoundary value problemsen_US
dc.subject.scopusDifference Scheme; Nonlocal Boundary Value Problems; Third Order Differential Equationen_US
dc.subject.wosMathematics, applieden_US
dc.titleOn Bitsadze-Samarskii type nonlocal boundary value problems for elliptic differential and difference equations: Well-posednessen_US
dc.typeArticle
dc.wos.quartileQ1en_US

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