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Well-posedness of a fourth order of accuracy difference scheme for the Neumann type overdetermined elliptic problem

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Özet

In the present paper, inverse elliptic problem with Neumann type overdetermination is discussed. A fourth order of accuracy difference scheme for the solution of this identification problem is presented. Stability, almost coercive stability and coercive inequalities for the solution of difference problem are obtained. In application, a fourth order approximation of the inverse problem for multidimensional elliptic equation with Neumann type overdetermination and Dirichlet boundary condition is studied.

Anahtar Kelimeler

Almost coercive stabilityCoercive stabilityDifference schemeIdentification problemInverse elliptic problemStability
RDL Kalıcı Bağlantı (PID)
https://rdlopen.rawdatalibrary.net/r/gumushane/15610Resmi atıflarda kullanılan kalıcı adres
DOI
https://doi.org/10.1063/1.4930433Yayıncı resmi DOI adresi
İndeks kayıtları
ScopusScopusWeb of ScienceWeb of Science
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Scopus
3
WoS
3
OpenAlex
3
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Tam Kayıt
AlanDeğerDil
dc.contributor.authorAshyralyyev, Charyyar
dc.contributor.editorLukashov, A.
dc.contributor.editorAshyralyev, A.
dc.contributor.editorMalkowsky, E.
dc.contributor.editorBasar, F.
dc.date.accessioned2026-10-22T10:24:15.528720394Z
dc.date.available2026-10-22T10:24:15.528720394Z
dc.date.issued2015
dc.description.abstractIn the present paper, inverse elliptic problem with Neumann type overdetermination is discussed. A fourth order of accuracy difference scheme for the solution of this identification problem is presented. Stability, almost coercive stability and coercive inequalities for the solution of difference problem are obtained. In application, a fourth order approximation of the inverse problem for multidimensional elliptic equation with Neumann type overdetermination and Dirichlet boundary condition is studied.
dc.identifier.articlenumber020007
dc.identifier.doi10.1063/1.4930433
dc.identifier.isbn978-073541323-8
dc.identifier.issn0094-243X
dc.identifier.scopus2-s2.0-84984550418
dc.identifier.urihttps://rdlopen.rawdatalibrary.net/r/gumushane/15610
dc.identifier.volume1676
dc.identifier.wosWOS:000371818700007
dc.language.isoen
dc.publisherAmerican Institute of Physics Inc.
dc.relation.conferenceInternational Conference on Advancements in Mathematical Sciences, AMS 2015
dc.relation.ispartofAIP Conference Proceedings
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.subjectAlmost coercive stability
dc.subjectCoercive stability
dc.subjectDifference scheme
dc.subjectIdentification problem
dc.subjectInverse elliptic problem
dc.subjectStability
dc.subject.classificationMathematics, Applied
dc.subject.classificationMathematics
dc.subject.classificationPhysics, Applied
dc.subject.classificationPhysics
dc.subject.otherEQUATION
dc.subject.otherAPPROXIMATION
dc.titleWell-posedness of a fourth order of accuracy difference scheme for the Neumann type overdetermined elliptic problem
dc.typeConference Object
rdl.citation.openalex3
rdl.citation.scopus3
rdl.citation.wos3
rdl.conference.date5 November 2015 through 7 November 2015
rdl.conference.placeAntalya
rdl.oa.statusclosed
rdl.source.indexSCOPUS
rdl.source.indexWOS
rdl.wos.indexConference Proceedings Citation Index - Science (CPCI-S)