Approximate Solution to a Multi-Point Boundary Value Problem Involving Nonlocal Integral Conditions by Reproducing Kernel Method

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dc.authorid0000-0002-8848-0058
dc.authorscopusid54403532200
dc.authorscopusid6506228517
dc.authorwosidOruçoğlu, Kamil/ABH-4956-2020
dc.contributor.authorÖzen, Kemal
dc.contributor.authorOruçoğlu, Kamil
dc.date.accessioned2022-05-11T14:31:11Z
dc.date.available2022-05-11T14:31:11Z
dc.date.issued2013
dc.departmentFakülteler, Fen Edebiyat Fakültesi, Matematik Bölümü
dc.description.abstractIn this work, we investigate a sequence of approximations converging to the existing unique solution of a multi-point boundary value problem (BVP) given by a linear fourth-order ordinary differential equation with variable coefficients involving nonlocal integral conditions by using reproducing kernel method (RKM). Obtaining the reproducing kernel of the reproducing kernel space by using the original conditions given directly by RKM may be troublesome and may introduce computational costs. Therefore, in these cases, initially considering more admissible conditions which will allow the reproducing kernel to be computed more easily than the original ones and then taking into account the original conditions lead us to satisfactory results. This analysis is illustrated by a numerical example. The results demonstrate that the method is still quite accurate and effective for the cases with both derivative and integral conditions even if the accuracy is less compared to the cases with just derivative conditions.
dc.identifier.doi10.3846/13926292.2013.840867
dc.identifier.endpage536
dc.identifier.issn1392-6292
dc.identifier.issue4en_US
dc.identifier.scopus2-s2.0-84885122692
dc.identifier.scopusqualityQ3
dc.identifier.startpage529
dc.identifier.urihttps://doi.org/10.3846/13926292.2013.840867
dc.identifier.urihttps://hdl.handle.net/20.500.11776/7357
dc.identifier.volume18
dc.identifier.wosWOS:000325167600005
dc.identifier.wosqualityQ3
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.institutionauthorÖzen, Kemal
dc.language.isoen
dc.publisherVilnius Gediminas Tech Univ
dc.relation.ispartofMathematical Modelling and Analysis
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectreproducing kernel space
dc.subjectdifferential equation
dc.subjectnonlocal integral condition
dc.subjectboundary value problem
dc.subjectnonlocal boundary condition
dc.subjectAdditional Conditions
dc.subjectSpace
dc.subjectFormulas
dc.titleApproximate Solution to a Multi-Point Boundary Value Problem Involving Nonlocal Integral Conditions by Reproducing Kernel Method
dc.typeArticle

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