Gümüşhane ÜniversitesiGümüşhane ÜniversitesiAçık Erişim Arşivi · RDL Open

Approximation of the inverse elliptic problem with mixed boundary value conditions

BildiriYalnız künye

Özet

The inverse problem for the multidimensional elliptic equation with Neumann-Dirichlet conditions are presented. For the approximate solution of this inverse problem the first and second order of accuracy in t and in space variables difference schemes are constructed. The stability, almost coercive stability and coercive stability estimates for the solution of these difference schemes are obtained. The algorithm for approximate solution is tested in a two-dimensional inverse problem.

Anahtar Kelimeler

Almost coercive stabilityCoercive stabilityDifference schemeInverse elliptic problemOverdeterminationStabilityWell-posedness
RDL Kalıcı Bağlantı (PID)
https://rdlopen.rawdatalibrary.net/r/gumushane/15505Resmi atıflarda kullanılan kalıcı adres
DOI
https://doi.org/10.1063/1.4893798Yayıncı resmi DOI adresi
Tam Kayıt
AlanDeğerDil
dc.contributor.authorAshyralyyev, Charyyar
dc.contributor.authorDedeturk, Mutlu
dc.contributor.editorAshyralyev, A
dc.contributor.editorMalkowsky, E
dc.date.accessioned2026-10-22T10:24:06.977736729Z
dc.date.available2026-10-22T10:24:06.977736729Z
dc.date.issued2014
dc.description.abstractThe inverse problem for the multidimensional elliptic equation with Neumann-Dirichlet conditions are presented. For the approximate solution of this inverse problem the first and second order of accuracy in t and in space variables difference schemes are constructed. The stability, almost coercive stability and coercive stability estimates for the solution of these difference schemes are obtained. The algorithm for approximate solution is tested in a two-dimensional inverse problem.
dc.identifier.doi10.1063/1.4893798
dc.identifier.endpage29
dc.identifier.isbn978-073541247-7
dc.identifier.issn0094-243X
dc.identifier.scopus2-s2.0-84907357922
dc.identifier.startpage25
dc.identifier.urihttps://rdlopen.rawdatalibrary.net/r/gumushane/15505
dc.identifier.volume1611
dc.identifier.wosWOS:000343720600005
dc.language.isoen
dc.publisherAmerican Institute of Physics Inc.
dc.relation.conference2nd International Conference on Analysis and Applied Mathematics, ICAAM 2014
dc.relation.ispartofAIP Conference Proceedings
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.subjectAlmost coercive stability
dc.subjectCoercive stability
dc.subjectDifference scheme
dc.subjectInverse elliptic problem
dc.subjectOverdetermination
dc.subjectStability
dc.subjectWell-posedness
dc.subject.classificationMathematics, Applied
dc.subject.classificationPhysics, Applied
dc.subject.classificationMathematics
dc.subject.classificationPhysics
dc.subject.otherConvergence of numerical methods
dc.subject.otherStability
dc.subject.otherApproximate solution
dc.subject.otherDifference schemes
dc.subject.otherElliptic problem
dc.subject.otherMixed boundary value condition
dc.subject.otherMultidimensional elliptic equations
dc.subject.otherOverdetermination
dc.subject.otherStability estimates
dc.subject.otherWellposedness
dc.subject.otherInverse problems
dc.titleApproximation of the inverse elliptic problem with mixed boundary value conditions
dc.typeConference Object
dspace.entity.typePublication
rdl.citation.openalex5
rdl.citation.scopus4
rdl.citation.wos4
rdl.conference.date11 September 2014 through 13 September 2014
rdl.conference.placeShymkent
rdl.oa.statusclosed
rdl.source.indexSCOPUS
rdl.source.indexWOS
rdl.wos.indexConference Proceedings Citation Index - Science (CPCI-S)