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dc.contributor.authorAzimi, Ruhangizen_US
dc.contributor.authorPourgholi, Rezaen_US
dc.contributor.authorTahmasbi, Alien_US
dc.date.accessioned2021-11-01T18:58:46Z
dc.date.available2021-11-01T18:58:46Z
dc.date.issued2021
dc.identifier.citationAzimi, R., Pourgholi, R. & Tahmasbi, A. (2021). An efficient method for a class of integro-differential equations with a weakly singular kernel. TWMS Journal Of Applied And Engineering Mathematics, 11(4), 1036-1049.en_US
dc.identifier.issn2146-1147en_US
dc.identifier.issn2587-1013en_US
dc.identifier.urihttp://belgelik.isikun.edu.tr/xmlui/handle/iubelgelik/3252
dc.identifier.urihttp://jaem.isikun.edu.tr/web/index.php/archive/113-vol11-no4/762
dc.description.abstractIn this work, a class of volterra integro-differential equation with a weakly singular kernel is discussed. The shifted Legendre Tau method is introduced for finding the unknown function. The proposed method is based on expanding the approximate solution as the elements of a shifted Legendre polynomials. We reduce the problem to a set of algebraic equations by using operational matrices. Also the convergence analysis and error estimation have been discussed and approved with the exact solution. Finally, several numerical examples are given to demonstrate the high accuracy of the method.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.subjectIntegro-differential equationen_US
dc.subjectShifted legendre Tau methoden_US
dc.subjectWeakly singular kernelen_US
dc.titleAn efficient method for a class of integro-differential equations with a weakly singular kernelen_US
dc.typeArticleen_US
dc.description.versionPublisher's Versionen_US
dc.identifier.volume11
dc.identifier.issue4
dc.identifier.startpage1036
dc.identifier.endpage1049
dc.peerreviewedYesen_US
dc.publicationstatusPublisheden_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Başka Kurum Yazarıen_US


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