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A new iteration method for the solution of third-order BVP via Green's function

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dc.contributor.authorAkgun, Fatma Aydin
dc.contributor.authorRasulov, Zaur
dc.date.accessioned2026-06-27T14:37:09Z
dc.date.issued2021
dc.description.abstractIn this study, a new iterative method for third-order boundary value problems based on embed-ding Green's function is introduced. The existence and uniqueness theorems are established, and necessary conditions are derived for convergence. The accuracy, efficiency and applicability of the results are demon-strated by comparing with the exact results and existing methods. The results of this paper extend and generalize the corresponding results in the literature.en
dc.description.urihttps://doi.org/10.1515/dema-2021-0031
dc.identifier.doi10.1515/dema-2021-0031
dc.identifier.eissn2391-4661
dc.identifier.endpage435
dc.identifier.issn0420-1213
dc.identifier.issue1
dc.identifier.startpage425
dc.identifier.urihttps://hdl.handle.net/20.500.14981/62741
dc.identifier.volume54
dc.identifier.wos000723673700001
dc.language.isoeng
dc.publisherDE GRUYTER POLAND SP Z O O
dc.relation.ispartofDEMONSTRATIO MATHEMATICA
dc.rightsopenAccess
dc.subjectboundary value problem
dc.subjectfixed point iteration method
dc.subjectGreen's function
dc.subjectintegral operator
dc.subjectrate of convergence
dc.subjectMULTIPLE POSITIVE SOLUTIONS
dc.subjectEXISTENCE
dc.subjectMathematics
dc.titleA new iteration method for the solution of third-order BVP via Green's function
dc.typeArticle
dspace.entity.typePublication
local.import.sourceWOS

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