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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
dc.contributor.departmentFen Edebiyat Fakültesi
dc.contributor.departmentMatematik Bölümü
dc.contributor.scopusid54403582400
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.
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.
dc.identifier.endpage1107
dc.identifier.issn0096-3003
dc.identifier.issn1873-5649
dc.identifier.issue3
dc.identifier.scopus2-s2.0-84867333658
dc.identifier.startpage1093
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.volume219
dc.identifier.wos000310501700033
dc.indexed.wosSCIE
dc.language.isoen
dc.publisherElsevier Science
dc.relation.collaborationYurt içi
dc.relation.journalApplied Mathematics and Computation
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.subjectMathematics
dc.subjectElliptic equations
dc.subjectNonlocal boundary value problems
dc.subjectDifference schemes
dc.subjectStability
dc.subjectSchemes
dc.subjectSpaces
dc.subjectCoercive force
dc.subjectConvergence of numerical methods
dc.subjectDifference equations
dc.subjectApproximate solution
dc.subjectElliptic equations
dc.subjectNonlocal boundary-value problems
dc.subjectSecond orders
dc.subjectWellposedness
dc.subjectBoundary value problems
dc.subject.scopusDifference Scheme; Nonlocal Boundary Value Problems; Third Order Differential Equation
dc.subject.wosMathematics, applied
dc.titleOn Bitsadze-Samarskii type nonlocal boundary value problems for elliptic differential and difference equations: Well-posedness
dc.typeArticle
dc.wos.quartileQ1
dspace.entity.typePublication
local.contributor.departmentUludaǧ Üniversitesi/Fen Edebiyat Fakültesi/Matematik Bölümü
local.indexed.atScopus
local.indexed.atWOS

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