Investigation of numerical solution for fourth-order nonlocal problem by the reproducing kernel method

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dc.authorscopusid54403532200
dc.authorscopusid6506228517
dc.contributor.authorÖzen, Kemal
dc.contributor.authorOruçoğlu, Kamil
dc.date.accessioned2022-05-11T14:31:09Z
dc.date.available2022-05-11T14:31:09Z
dc.date.issued2011
dc.departmentFakülteler, Fen Edebiyat Fakültesi, Matematik Bölümü
dc.descriptionEuropean Society of Computational Methods;in Sciences and Engineering (ESCMSE);The R. M. Santilli Foundation
dc.descriptionInternational Conference on Numerical Analysis and Applied Mathematics: Numerical Analysis and Applied Mathematics, ICNAAM 2011 -- 19 September 2011 through 25 September 2011 -- Halkidiki --
dc.description.abstractThis work investigates the approximate solution for fourth-order multi-point boundary value problem represented by linear integro-differential equation involving nonlocal integral boundary conditions by using the reproducing kernel method (RKM). The investigated solution is represented in the form of a series with easily computable components in the reproducing kernel space. When the used algorithm for approximation is applied directly for the given original conditions, it can be very troublesome to compute the reproducing kernel of space. Therefore firstly, it is considered more appropriate conditions to be computed the kernel easily than original ones. Nextly, the original conditions are taken into account. Analysis is illustrated by a numerical example. The results demonstrate that the method is quite accurate and effective. © 2011 American Institute of Physics.
dc.identifier.doi10.1063/1.3637822
dc.identifier.endpage1167
dc.identifier.isbn9.78074E+12
dc.identifier.issn0094-243X
dc.identifier.scopus2-s2.0-81855216265
dc.identifier.scopusqualityN/A
dc.identifier.startpage1164
dc.identifier.urihttps://doi.org/10.1063/1.3637822
dc.identifier.urihttps://hdl.handle.net/20.500.11776/7343
dc.identifier.volume1389
dc.indekslendigikaynakScopus
dc.institutionauthorÖzen, Kemal
dc.language.isoen
dc.relation.ispartofAIP Conference Proceedings
dc.relation.publicationcategoryKonferans Öğesi - Uluslararası - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.subjectIntegral Boundary Condition
dc.subjectIntegro-Differential Equation
dc.subjectNonlocal Boundary Value Problem
dc.subjectReproducing Kernel Method
dc.titleInvestigation of numerical solution for fourth-order nonlocal problem by the reproducing kernel method
dc.typeConference Object

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