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Finite difference method for the reverse parabolic problem with Neumann condition

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Özet

A finite difference method for the approximate solution of the reverse multidimensional parabolic differential equation with a multipoint boundary condition and Neumann condition is applied. Stability, almost coercive stability, and coercive stability estimates for the solution of the first and second orders of accuracy difference schemes are obtained. The theoretical statements are supported by the numerical example.

Anahtar Kelimeler

almost coercive stabilityMultipoint nonlocal boundary value problemsreverse parabolic equationsstabilitywell-posedness
RDL Kalıcı Bağlantı (PID)
https://rdlopen.rawdatalibrary.net/r/gumushane/15626Resmi atıflarda kullanılan kalıcı adres
DOI
https://doi.org/10.1063/1.4747650Yayıncı resmi DOI adresi
İndeks kayıtları
ScopusScopusWeb of ScienceWeb of Science
Kaydın indeks veri tabanlarındaki sayfası (aktarımda alınan kayıt numarasıyla). Erişim, indeksin kendi koşullarına bağlıdır.
Atıflar
Scopus
16
WoS
15
OpenAlex
11
Her kaynağın kendi saydığı toplam atıf; aktarım ve zenginleştirme sırasında alındı.
Tam Kayıt
AlanDeğerDil
dc.contributor.authorAshyralyyev, Charyyar
dc.contributor.authorDural, Ayfer
dc.contributor.authorSozen, Yasar
dc.contributor.editorAshyralyev, A
dc.contributor.editorLukashov, A
dc.date.accessioned2026-10-22T10:24:17.374318012Z
dc.date.available2026-10-22T10:24:17.374318012Z
dc.date.issued2012
dc.description.abstractA finite difference method for the approximate solution of the reverse multidimensional parabolic differential equation with a multipoint boundary condition and Neumann condition is applied. Stability, almost coercive stability, and coercive stability estimates for the solution of the first and second orders of accuracy difference schemes are obtained. The theoretical statements are supported by the numerical example.
dc.identifier.doi10.1063/1.4747650
dc.identifier.endpage105
dc.identifier.isbn978-073541077-0
dc.identifier.issn1551-7616
dc.identifier.scopus2-s2.0-84873255499
dc.identifier.startpage102
dc.identifier.urihttps://rdlopen.rawdatalibrary.net/r/gumushane/15626
dc.identifier.volume1470
dc.identifier.wosWOS:000309524400026
dc.language.isoen
dc.publisherAMER INST PHYSICS
dc.relation.conference1st International Conference on Analysis and Applied Mathematics, ICAAM 2012
dc.relation.ispartofAIP Conference Proceedings
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.subjectalmost coercive stability
dc.subjectMultipoint nonlocal boundary value problems
dc.subjectreverse parabolic equations
dc.subjectstability
dc.subjectwell-posedness
dc.subject.classificationMathematics, Applied
dc.subject.classificationPhysics, Mathematical
dc.subject.classificationMathematics
dc.subject.classificationPhysics
dc.subject.otherBOUNDARY-VALUE-PROBLEMS
dc.subject.otherWELL-POSEDNESS
dc.subject.otherEQUATIONS
dc.titleFinite difference method for the reverse parabolic problem with Neumann condition
dc.typeConference Object
rdl.citation.openalex11
rdl.citation.scopus16
rdl.citation.wos15
rdl.conference.date18 October 2012 through 21 October 2012
rdl.conference.placeGumushane
rdl.oa.statusclosed
rdl.source.indexSCOPUS
rdl.source.indexWOS
rdl.wos.indexConference Proceedings Citation Index - Science (CPCI-S)