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On the second order of accuracy stable difference scheme for integral type non-local elliptic source identification problem

MakaleAçık Erişim

Özet

In this study, a source identification problem for elliptic differential equation with integral type non-local condition is discussed. The second order of accuracy difference scheme for elliptic non-local source identification problem is studied. Using spectral resolution of a self-adjoint operator, stability and coercive stability estimates for solution of difference scheme are established. Subsequently, difference scheme for an approximate solution of multi-dimensional boundary-value problem with integral type non-local and first kind boundary conditions is investigated for stability. Numerical results for 2D and 3D examples are illustrated.

Anahtar Kelimeler

Boundary value problemDifference schemeIntegral conditionSource identification elliptic problemStability estimates
RDL Kalıcı Bağlantı (PID)
https://rdlopen.rawdatalibrary.net/r/gumushane/14538Resmi atıflarda kullanılan kalıcı adres
DOI
https://doi.org/10.1007/s40314-022-01886-3Yayıncı resmi DOI adresi
Tam Kayıt
AlanDeğerDil
dc.contributor.authorAshyralyyev, Charyyar
dc.date.accessioned2026-10-22T10:22:49.730065053Z
dc.date.available2026-10-22T10:22:49.730065053Z
dc.date.issued2022
dc.description.abstractIn this study, a source identification problem for elliptic differential equation with integral type non-local condition is discussed. The second order of accuracy difference scheme for elliptic non-local source identification problem is studied. Using spectral resolution of a self-adjoint operator, stability and coercive stability estimates for solution of difference scheme are established. Subsequently, difference scheme for an approximate solution of multi-dimensional boundary-value problem with integral type non-local and first kind boundary conditions is investigated for stability. Numerical results for 2D and 3D examples are illustrated.
dc.identifier.articlenumber179
dc.identifier.doi10.1007/s40314-022-01886-3
dc.identifier.eissn1807-0302
dc.identifier.issn2238-3603
dc.identifier.issue4
dc.identifier.scopus2-s2.0-85130141806
dc.identifier.urihttps://rdlopen.rawdatalibrary.net/r/gumushane/14538
dc.identifier.volume41
dc.identifier.wosWOS:000796509600001
dc.language.isoen
dc.publisherSpringer Science and Business Media Deutschland GmbH
dc.relation.ispartofComputational and Applied Mathematics
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectBoundary value problem
dc.subjectDifference scheme
dc.subjectIntegral condition
dc.subjectSource identification elliptic problem
dc.subjectStability estimates
dc.subject.classificationMathematics, Applied
dc.subject.classificationMathematics
dc.subject.otherBoundary conditions
dc.subject.otherStability
dc.subject.otherBoundary-value problem
dc.subject.otherDifference schemes
dc.subject.otherElliptic problem
dc.subject.otherIdentification problem
dc.subject.otherIntegral conditions
dc.subject.otherOrder of accuracy
dc.subject.otherSecond orders
dc.subject.otherSource identification elliptic problem
dc.subject.otherSources identifications
dc.subject.otherStability estimates
dc.subject.otherBoundary value problems
dc.titleOn the second order of accuracy stable difference scheme for integral type non-local elliptic source identification problem
dc.typeArticle
dspace.entity.typePublication
rdl.citation.openalex2
rdl.citation.scopus2
rdl.citation.wos1
rdl.oa.statusgreen
rdl.oa.statuspreprint
rdl.oa.urlhttps://link.springer.com/article/10.1007/s40314-022-01886-3
rdl.source.indexSCOPUS
rdl.source.indexWOS
rdl.wos.indexScience Citation Index Expanded (SCI-EXPANDED)