Bernstein operator method for approximate solution of singularly perturbed Volterra integral equations

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dc.authorscopusid57194218415
dc.authorscopusid36616864700
dc.authorscopusid23493395600
dc.authorscopusid55835039300
dc.contributor.authorUsta, F.
dc.contributor.authorAkyiğit, M.
dc.contributor.authorSay, F.
dc.contributor.authorAnsari, K. J.
dc.date.accessioned2021-12-01T18:38:51Z
dc.date.available2021-12-01T18:38:51Z
dc.date.issued2022
dc.department[Belirlenecek]en_US
dc.description.abstractAn approximate solution of integral equations takes an active role in the numerical analysis. This paper presents and tests an algorithm for the approximate solution of singularly perturbed Volterra integral equations via the Bernstein approximation technique. The method of computing the numerical approximation of the solution is properly demonstrated and exemplified in the matrix notation. Besides, the error bound and convergence associated with the numerical scheme are constituted. Finally, particular examples indicate the dependability and numerical capability of the introduced scheme in comparison with other numerical techniques. © 2021 Elsevier Inc.en_US
dc.description.sponsorshipDeanship of Scientific Research, King Faisal University, DSR, KFU: R.G.P. 2/172/42en_US
dc.description.sponsorshipThe authors extend their appreciation to the Deanship of Scientific Research at King Khalid University for funding this work through research groups program under Grant number R.G.P. 2/172/42 .en_US
dc.identifier.doi10.1016/j.jmaa.2021.125828
dc.identifier.issn0022247X
dc.identifier.issue2en_US
dc.identifier.scopus2-s2.0-85119321719en_US
dc.identifier.scopusqualityN/Aen_US
dc.identifier.urihttps://doi.org/10.1016/j.jmaa.2021.125828
dc.identifier.urihttps://hdl.handle.net/20.500.12684/9873
dc.identifier.volume507en_US
dc.identifier.wosWOS:000775539700026en_US
dc.identifier.wosqualityQ2en_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherAcademic Press Inc.en_US
dc.relation.ispartofJournal of Mathematical Analysis and Applicationsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectAsymptoticsen_US
dc.subjectBernstein's approximationen_US
dc.subjectConvergence analysisen_US
dc.subjectNumerical methoden_US
dc.subjectSingularly perturbed integral equationen_US
dc.titleBernstein operator method for approximate solution of singularly perturbed Volterra integral equationsen_US
dc.typeArticleen_US

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