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Solutions of linear Fredholm integral equations with the three- step iteration method

MakaleYayıncıda açık erişimScopus SJRQ3

Özet

In this article, the solution of the second type of nonhomogeneous linear Fredholm integral equations is investigated using a three-step iteration algorithm. It has been shown that the sequences obtained from this algorithm converge to the solution of the mentioned equations. Morever, data dependency is obtained for the second type of nonhomogeneous linear Fredholm integral equations. This result is supported by an example.

Anahtar Kelimeler

Banach Fixed Point TheoremData DependencyFredholmIntegral EquationsThree-StepIteration Method
RDL Kalıcı Bağlantı (PID)
https://rdlopen.rawdatalibrary.net/r/gumushane/16546Resmi atıflarda kullanılan kalıcı adres
DOI
https://doi.org/10.14744/sigma.2024.00020Yayıncı resmi DOI adresi
Atıflar
WoS
0
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2
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Tam Kayıt
AlanDeğerDil
dc.contributor.authorCona, Lale
dc.contributor.authorSengül, Kadir
dc.date.accessioned2026-10-22T10:32:43.992812080Z
dc.date.available2026-10-22T10:32:43.992812080Z
dc.date.issued2024-02
dc.description.abstractIn this article, the solution of the second type of nonhomogeneous linear Fredholm integral equations is investigated using a three-step iteration algorithm. It has been shown that the sequences obtained from this algorithm converge to the solution of the mentioned equations. Morever, data dependency is obtained for the second type of nonhomogeneous linear Fredholm integral equations. This result is supported by an example.
dc.identifier.doi10.14744/sigma.2024.00020
dc.identifier.eissn1304-7191
dc.identifier.endpage251
dc.identifier.issn1304-7205
dc.identifier.issue1
dc.identifier.startpage245
dc.identifier.urihttps://rdlopen.rawdatalibrary.net/r/gumushane/16546
dc.identifier.volume42
dc.identifier.wosWOS:001184434900003
dc.language.isoen
dc.publisherYILDIZ TECHNICAL UNIV
dc.relation.ispartofSIGMA JOURNAL OF ENGINEERING AND NATURAL SCIENCES-SIGMA MUHENDISLIK VE FEN BILIMLERI DERGISI
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.subjectBanach Fixed Point Theorem
dc.subjectData Dependency
dc.subjectFredholm
dc.subjectIntegral Equations
dc.subjectThree-Step
dc.subjectIteration Method
dc.subject.classificationEngineering, Multidisciplinary
dc.subject.classificationEngineering
dc.subject.otherFIXED-POINTS
dc.subject.otherMAPPINGS
dc.titleSolutions of linear Fredholm integral equations with the three- step iteration method
dc.typeArticle
dspace.entity.typePublication
rdl.citation.openalex2
rdl.citation.wos0
rdl.oa.statusgold
rdl.scopus.quartileQ3
rdl.source.indexWOS
rdl.wos.indexEmerging Sources Citation Index (ESCI)