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Source Identification Problem for a Parabolic Equation with Multipoint Nonlocal Boundary Condition

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Özet

We study a source identification problem for a parabolic equation with multipoint nonlocal boundary condition. Stability estimates for the solution of abstract source identification problem are established. In application, stability estimates for the solution of the overdetermined mixed boundary value problem for multidimensional parabolic equation are obtained. The first and second order of accuracy difference schemes for the approximate solution of this problem are constructed. Stability estimates for solutions of these difference schemes are proved. Numerical illustration for a simple test problem is presented.

Anahtar Kelimeler

Difference schemeinverse problemsmultipoint nonlocal boundary value problemsparabolic equationsource identificationstability
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AlanDeğerDil
dc.contributor.authorAshyralyyev, Charyyar
dc.contributor.authorAkkan, Pinar
dc.date.accessioned2026-10-22T10:23:14.924534838Z
dc.date.available2026-10-22T10:23:14.924534838Z
dc.date.issued2020
dc.description.abstractWe study a source identification problem for a parabolic equation with multipoint nonlocal boundary condition. Stability estimates for the solution of abstract source identification problem are established. In application, stability estimates for the solution of the overdetermined mixed boundary value problem for multidimensional parabolic equation are obtained. The first and second order of accuracy difference schemes for the approximate solution of this problem are constructed. Stability estimates for solutions of these difference schemes are proved. Numerical illustration for a simple test problem is presented.
dc.identifier.doi10.1080/01630563.2020.1802748
dc.identifier.eissn1532-2467
dc.identifier.endpage1935
dc.identifier.issn0163-0563
dc.identifier.issue16
dc.identifier.scopus2-s2.0-85089096615
dc.identifier.startpage1913
dc.identifier.urihttps://rdlopen.rawdatalibrary.net/r/gumushane/14862
dc.identifier.volume41
dc.identifier.wosWOS:000556061900001
dc.language.isoen
dc.publisherBellwether Publishing, Ltd.
dc.relation.ispartofNumerical Functional Analysis and Optimization
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.subjectDifference scheme
dc.subjectinverse problems
dc.subjectmultipoint nonlocal boundary value problems
dc.subjectparabolic equation
dc.subjectsource identification
dc.subjectstability
dc.subject.classificationMathematics, Applied
dc.subject.classificationMathematics
dc.subject.otherBoundary conditions
dc.subject.otherBoundary value problems
dc.subject.otherApproximate solution
dc.subject.otherDifference schemes
dc.subject.otherMixed boundary-value problem
dc.subject.otherNon-local boundary conditions
dc.subject.otherParabolic Equations
dc.subject.otherSecond orders
dc.subject.otherSource identification
dc.subject.otherStability estimates
dc.subject.otherPartial differential equations
dc.titleSource Identification Problem for a Parabolic Equation with Multipoint Nonlocal Boundary Condition
dc.typeArticle
dspace.entity.typePublication
rdl.citation.openalex7
rdl.citation.scopus7
rdl.citation.wos6
rdl.oa.statusclosed
rdl.source.indexSCOPUS
rdl.source.indexWOS
rdl.wos.indexScience Citation Index Expanded (SCI-EXPANDED)