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A third order of accuracy difference scheme for Dirichlet type overdermined problem with mixed boundary value conditions

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Özet

Approximation of Dirichlet type overdetermined multidimensional elliptic problem with Dirichlet-Neumann boundary conditions are discussed. A third order of accuracy difference scheme for its approximate solution is proposed. The stability, almost coercive stability and coercive stability inequalities for the solution of constructed difference scheme are established. Test example for a two-dimensional elliptic problem is presented.

Anahtar Kelimeler

Almost coercive stabilityCoercive stabilityDifference schemeElliptic problemOverdeterminationStability
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https://rdlopen.rawdatalibrary.net/r/gumushane/15081Resmi atıflarda kullanılan kalıcı adres
DOI
https://doi.org/10.1063/1.4959656Yayıncı resmi DOI adresi
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AlanDeğerDil
dc.contributor.authorAshyralyyev, Charyyar
dc.contributor.authorDedeturk, Mutlu
dc.contributor.editorLukashov, A.
dc.contributor.editorAshyralyev, A.
dc.date.accessioned2026-10-22T10:23:33.882438990Z
dc.date.available2026-10-22T10:23:33.882438990Z
dc.date.issued2016
dc.description.abstractApproximation of Dirichlet type overdetermined multidimensional elliptic problem with Dirichlet-Neumann boundary conditions are discussed. A third order of accuracy difference scheme for its approximate solution is proposed. The stability, almost coercive stability and coercive stability inequalities for the solution of constructed difference scheme are established. Test example for a two-dimensional elliptic problem is presented.
dc.identifier.articlenumber020042
dc.identifier.doi10.1063/1.4959656
dc.identifier.isbn978-073541417-4
dc.identifier.issn0094-243X
dc.identifier.scopus2-s2.0-85000461146
dc.identifier.urihttps://rdlopen.rawdatalibrary.net/r/gumushane/15081
dc.identifier.volume1759
dc.identifier.wosWOS:000383223000039
dc.language.isoen
dc.publisherAmerican Institute of Physics Inc.
dc.relation.conference3rd International Conference on Analysis and Applied Mathematics, ICAAM 2016
dc.relation.ispartofAIP Conference Proceedings
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.subjectAlmost coercive stability
dc.subjectCoercive stability
dc.subjectDifference scheme
dc.subjectElliptic problem
dc.subjectOverdetermination
dc.subjectStability
dc.subject.classificationMathematics, Applied
dc.subject.classificationPhysics, Applied
dc.subject.classificationMathematics
dc.subject.classificationPhysics
dc.subject.otherINVERSE ELLIPTIC PROBLEM
dc.subject.otherAPPROXIMATION
dc.subject.otherEQUATION
dc.titleA third order of accuracy difference scheme for Dirichlet type overdermined problem with mixed boundary value conditions
dc.typeConference Object
rdl.citation.openalex0
rdl.citation.scopus0
rdl.citation.wos0
rdl.conference.date7 September 2016 through 10 September 2016
rdl.conference.placeAlmaty
rdl.oa.statusclosed
rdl.source.indexSCOPUS
rdl.source.indexWOS
rdl.wos.indexConference Proceedings Citation Index - Science (CPCI-S)