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Numerical Solution of Time-Nonlocal Problem for Parabolic Equation

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Özet

In this work, we study time-nonlocal boundary value problem for multi-dimensional parabolic partial differential equation. Two difference schemes for approximate solution of non-local boundary value problem are discussed. Theorems on stability of solutions both difference schemes are given without proof. Numerical results for test examples are outlined.

Anahtar Kelimeler

Difference Schemeparabolic equationtime-nonlocal problem
RDL Kalıcı Bağlantı (PID)
https://rdlopen.rawdatalibrary.net/r/gumushane/12831Resmi atıflarda kullanılan kalıcı adres
DOI
https://doi.org/10.1063/5.0114878Yayıncı resmi DOI adresi
Tam Kayıt
AlanDeğerDil
dc.contributor.authorAshyralyev, Allaberen
dc.contributor.authorAshyralyyev, Charyyar
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.editorAral, N.D.
dc.contributor.editorUcgan, F.C.
dc.contributor.editorSahinaslan, O.
dc.contributor.editorAshyralyyev, C.
dc.contributor.editorSezer, S.A.
dc.contributor.editorTurkoglu, A.D.
dc.contributor.editorOnvural, O.R.
dc.contributor.editorSahin, H.
dc.date.accessioned2026-10-22T10:20:35.640185313Z
dc.date.available2026-10-22T10:20:35.640185313Z
dc.date.issued2022
dc.description.abstractIn this work, we study time-nonlocal boundary value problem for multi-dimensional parabolic partial differential equation. Two difference schemes for approximate solution of non-local boundary value problem are discussed. Theorems on stability of solutions both difference schemes are given without proof. Numerical results for test examples are outlined.
dc.identifier.articlenumber060001
dc.identifier.doi10.1063/5.0114878
dc.identifier.isbn978-073544258-0
dc.identifier.issn0094-243X
dc.identifier.scopus2-s2.0-85142471222
dc.identifier.urihttps://rdlopen.rawdatalibrary.net/r/gumushane/12831
dc.identifier.volume2483
dc.language.isoen
dc.publisherAmerican Institute of Physics Inc.
dc.relation.conference5th International Conference of Mathematical Sciences, ICMS 2021
dc.relation.ispartofAIP Conference Proceedings
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.subjectDifference Scheme
dc.subjectparabolic equation
dc.subjecttime-nonlocal problem
dc.titleNumerical Solution of Time-Nonlocal Problem for Parabolic Equation
dc.typeConference Object
dspace.entity.typePublication
rdl.citation.openalex3
rdl.citation.scopus2
rdl.conference.date23 June 2021 through 27 June 2021
rdl.conference.placeIstanbul
rdl.oa.statusclosed
rdl.source.indexSCOPUS