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High order approximation of the inverse elliptic problem with dirichlet-neumann conditions

MakaleAçık Erişim

Özet

Inverse problem for the multidimensional elliptic equation with Dirichlet-Neumann conditions is considered. High order of accuracy difference schemes for the solution of inverse problem are presented. Stability, almost coercive stability and coercive stability estimates of the third and fourth orders of accuracy difference schemes for this problem are obtained. Numerical results in a two dimensional case are given.

Anahtar Kelimeler

Almost coercive stabilityCoercive stabilityDifference schemeHigh order accuracyInverse elliptic problemStabilityWell-posedness
RDL Kalıcı Bağlantı (PID)
https://rdlopen.rawdatalibrary.net/r/gumushane/15641Resmi atıflarda kullanılan kalıcı adres
DOI
https://doi.org/10.2298/fil1405947aYayıncı resmi DOI adresi
Tam Kayıt
AlanDeğerDil
dc.contributor.authorAshyralyyev, Charyyar
dc.date.accessioned2026-10-22T10:24:18.953904094Z
dc.date.available2026-10-22T10:24:18.953904094Z
dc.date.issued2014
dc.description.abstractInverse problem for the multidimensional elliptic equation with Dirichlet-Neumann conditions is considered. High order of accuracy difference schemes for the solution of inverse problem are presented. Stability, almost coercive stability and coercive stability estimates of the third and fourth orders of accuracy difference schemes for this problem are obtained. Numerical results in a two dimensional case are given.
dc.identifier.doi10.2298/fil1405947a
dc.identifier.endpage962
dc.identifier.issn0354-5180
dc.identifier.issue5
dc.identifier.scopus2-s2.0-84908235428
dc.identifier.startpage947
dc.identifier.urihttps://rdlopen.rawdatalibrary.net/r/gumushane/15641
dc.identifier.volume28
dc.identifier.wosWOS:000344775400006
dc.language.isoen
dc.publisherUniversity of Nis
dc.relation.ispartofFilomat
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectAlmost coercive stability
dc.subjectCoercive stability
dc.subjectDifference scheme
dc.subjectHigh order accuracy
dc.subjectInverse elliptic problem
dc.subjectStability
dc.subjectWell-posedness
dc.subject.classificationMathematics, Applied
dc.subject.classificationMathematics
dc.subject.otherBOUNDARY-VALUE PROBLEM
dc.subject.otherACCURACY DIFFERENCE SCHEME
dc.subject.otherEQUATION
dc.subject.other4TH-ORDER
dc.titleHigh order approximation of the inverse elliptic problem with dirichlet-neumann conditions
dc.typeArticle
dspace.entity.typePublication
rdl.citation.openalex35
rdl.citation.scopus35
rdl.citation.wos31
rdl.oa.statushybrid
rdl.oa.urlhttp://www.doiserbia.nb.rs/ft.aspx?id=0354-51801405947A
rdl.source.indexSCOPUS
rdl.source.indexWOS
rdl.wos.indexScience Citation Index Expanded (SCI-EXPANDED)