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Stability estimates for a third order of accuracy difference scheme elliptic overdetermined multi-point problem

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Özet

In this work, we discuss a third order of accuracy difference scheme for approximate solution of the elliptic overdetermined multi-point problem in the Hilbert space. Functional operator approach is used to study existence and uniqueness of solution of difference problem. Stability, almost coercive stability and coercive stability estimates for solution of difference scheme are established.

Anahtar Kelimeler

Difference schemesElliptic problemHigh order approximationMulti-pointSource identification problemStability
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https://rdlopen.rawdatalibrary.net/r/gumushane/14588Resmi atıflarda kullanılan kalıcı adres
DOI
https://doi.org/10.1063/5.0042231Yayıncı resmi DOI adresi
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Tam Kayıt
AlanDeğerDil
dc.contributor.authorAshyralyyev, Charyyar
dc.contributor.authorAkyuz, Gulzipa
dc.contributor.editorCakalli, H.
dc.contributor.editorKocinac, L.D.R.
dc.contributor.editorAshyralyev, A.
dc.contributor.editorHarte, R.
dc.contributor.editorDik, M.
dc.contributor.editorCanak, I.
dc.contributor.editorKandemir, H.S.
dc.contributor.editorTez, M.
dc.contributor.editorGurtug, O.
dc.contributor.editorSavas, E.
dc.contributor.editorAkay, K.U.
dc.contributor.editorUyaver, S.
dc.contributor.editorAshyralyyev, C.
dc.contributor.editorSezer, S.A.
dc.contributor.editorTurkoglu, A.D.
dc.contributor.editorOnvural, O.R.
dc.contributor.editorSahin, H.
dc.contributor.editorUcgun, F.C.
dc.date.accessioned2026-10-22T10:22:53.738713339Z
dc.date.available2026-10-22T10:22:53.738713339Z
dc.date.issued2021
dc.description.abstractIn this work, we discuss a third order of accuracy difference scheme for approximate solution of the elliptic overdetermined multi-point problem in the Hilbert space. Functional operator approach is used to study existence and uniqueness of solution of difference problem. Stability, almost coercive stability and coercive stability estimates for solution of difference scheme are established.
dc.identifier.articlenumber060011
dc.identifier.doi10.1063/5.0042231
dc.identifier.isbn978-073544078-4
dc.identifier.issn0094-243X
dc.identifier.scopus2-s2.0-85102285318
dc.identifier.urihttps://rdlopen.rawdatalibrary.net/r/gumushane/14588
dc.identifier.volume2334
dc.identifier.wosWOS:000664201400027
dc.language.isoen
dc.publisherAmerican Institute of Physics Inc.
dc.relation.conference4th International Conference of Mathematical Sciences, ICMS 2020
dc.relation.ispartofAIP Conference Proceedings
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.subjectDifference schemes
dc.subjectElliptic problem
dc.subjectHigh order approximation
dc.subjectMulti-point
dc.subjectSource identification problem
dc.subjectStability
dc.subject.classificationMathematics, Applied
dc.subject.classificationMathematics, Interdisciplinary Applications
dc.subject.classificationMathematics
dc.subject.otherSOURCE IDENTIFICATION PROBLEM
dc.subject.otherNUMERICAL-SOLUTION
dc.subject.otherINVERSE
dc.subject.otherAPPROXIMATION
dc.subject.other4TH-ORDER
dc.subject.otherEQUATION
dc.titleStability estimates for a third order of accuracy difference scheme elliptic overdetermined multi-point problem
dc.typeConference Object
rdl.citation.scopus0
rdl.citation.wos0
rdl.conference.date17 June 2020 through 21 June 2020
rdl.conference.placeIstanbul
rdl.oa.statusclosed
rdl.source.indexSCOPUS
rdl.source.indexWOS
rdl.wos.indexConference Proceedings Citation Index - Science (CPCI-S)