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dc.contributor.authorMungkasi, Sudien_US
dc.date.accessioned2023-01-03T15:16:31Z
dc.date.available2023-01-03T15:16:31Z
dc.date.issued2023-01
dc.identifier.citationMungkasi, S. (2023). A piecewise analytical iterative method for a wire-mass model. TWMS Journal Of Applied And Engineering Mathematics, 13(1), 124-132.en_US
dc.identifier.issn2146-1147en_US
dc.identifier.issn2587-1013en_US
dc.identifier.urihttp://belgelik.isikun.edu.tr/xmlui/handle/iubelgelik/5207
dc.identifier.urihttp://jaem.isikun.edu.tr/web/index.php/current/118-vol13no1/949
dc.description.abstractA wire-mass model is considered, where the wire is elastic and the mass is attached to the wire. We propose a piecewise analytical iterative method for simulating the motion of the mass attached to the wire. Our proposed method combines Picard’s successive approximation and Taylor series expansion methods. Picard’s successive approximation method is simple to construct, but difficult to compute, as it involves a nonlinear term in the integrand. Taylor series expansion method is accurate, but only for small intervals. We combine these two methods to take advantage of the strengths and avoid the weaknesses of both methods. Therefore, we implement this combination piecewisely. Numerical tests show that our proposed method is simple to implement but produces accurate solutions.en_US
dc.language.isoenen_US
dc.publisherIşık University Pressen_US
dc.relation.ispartofTWMS Journal Of Applied And Engineering Mathematicsen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.rightsAttribution-NonCommercial-NoDerivs 3.0 United States*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/us/*
dc.subjectHigh order methoden_US
dc.subjectPicard–Taylor methoden_US
dc.subjectPiecewise methoden_US
dc.subjectSuccessive approximation methoden_US
dc.subjectWire-mass modelen_US
dc.titleA piecewise analytical iterative method for a wire-mass modelen_US
dc.typeArticleen_US
dc.description.versionPublisher's Versionen_US
dc.identifier.volume13
dc.identifier.issue1
dc.identifier.startpage124
dc.identifier.endpage132
dc.peerreviewedYesen_US
dc.publicationstatusPublisheden_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Başka Kurum Yazarıen_US
dc.indekslendigikaynakEmerging Sources Citation Index (ESCI)en_US
dc.indekslendigikaynakMathScineten_US
dc.indekslendigikaynakScopusen_US


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