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Bernstein series solution of a class of linear integro-differential equations with weakly singular kernel

dc.contributor.authorIsik, Osman Rasit
dc.contributor.authorSezer, Mehmet
dc.contributor.authorGuney, Zekeriya
dc.date.accessioned2020-11-20T16:33:29Z
dc.date.available2020-11-20T16:33:29Z
dc.date.issued2011
dc.identifier.issn0096-3003
dc.identifier.issn1873-5649
dc.identifier.urihttps://doi.org/10.1016/j.amc.2011.01.114
dc.identifier.urihttps://hdl.handle.net/20.500.12809/4388
dc.descriptionIsik, Osman Rasit/0000-0003-1401-4553en_US
dc.descriptionWOS: 000288064600023en_US
dc.description.abstractIn this study, a new collocation method based on the Bernstein polynomials is introduced for the approximate solution of a class of linear Volterra integro-differential equations with weakly singular kernel. If the exact solution is polynomial, then the exact solution can be obtained. If the exact solution is not a polynomial, then an accurate solution can be obtained with a combination of choice in the number of nodes and the number of digits in the solver. In addition, the method is presented with error and stability analysis. (C) 2011 Elsevier Inc. All rights reserved.en_US
dc.language.isoengen_US
dc.publisherElsevier Science Incen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectIntegro-Differential Equationsen_US
dc.subjectVolterra Equationsen_US
dc.subjectAbel's Integral Equationsen_US
dc.subjectBernstein Polynomialsen_US
dc.subjectSingular Volterra Integral Equationsen_US
dc.titleBernstein series solution of a class of linear integro-differential equations with weakly singular kernelen_US
dc.typearticleen_US
dc.contributor.departmentMÜen_US
dc.contributor.departmentTemp[Isik, Osman Rasit; Sezer, Mehmet] Mugla Univ, Dept Math, Fac Sci, TR-48000 Mugla, Turkey -- [Guney, Zekeriya] Mugla Univ, Dept Math, Fac Educ, TR-48000 Mugla, Turkeyen_US
dc.identifier.doi10.1016/j.amc.2011.01.114
dc.identifier.volume217en_US
dc.identifier.issue16en_US
dc.identifier.startpage7009en_US
dc.identifier.endpage7020en_US
dc.relation.journalApplied Mathematics and Computationen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US


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