Please use this identifier to cite or link to this item: http://earsiv.odu.edu.tr:8080/xmlui/handle/11489/5236
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dc.contributor.authorUsta, Fuat-
dc.contributor.authorAkyigit, Mahmut-
dc.contributor.authorSay, Fatih-
dc.contributor.authorAnsari, Khursheed J.-
dc.date.accessioned2024-03-26T06:52:28Z-
dc.date.available2024-03-26T06:52:28Z-
dc.date.issued2022-
dc.identifier.citationUsta, F., Akyigit, M., Say, F., Ansari, KJ. (2022). Bernstein operator method for approximate solution of singularly perturbed Volterra integral equations. J. Math. Anal. Appl., 507(2). https://doi.org/10.1016/j.jmaa.2021.125828en_US
dc.identifier.issn0022-247X-
dc.identifier.issn1096-0813-
dc.identifier.urihttp://dx.doi.org/10.1016/j.jmaa.2021.125828-
dc.identifier.urihttps://www.webofscience.com/wos/woscc/full-record/WOS:000775539700026-
dc.identifier.urihttp://earsiv.odu.edu.tr:8080/xmlui/handle/11489/5236-
dc.descriptionWoS Categories: Mathematics, Applied; Mathematicsen_US
dc.descriptionWeb of Science Index: Science Citation Index Expanded (SCI-EXPANDED)en_US
dc.descriptionResearch Areas: Mathematicsen_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. (C) 2021 Elsevier Inc. All rights reserved.en_US
dc.language.isoengen_US
dc.publisherACADEMIC PRESS INC ELSEVIER SCIENCE-SAN DIEGOen_US
dc.relation.isversionof10.1016/j.jmaa.2021.125828en_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectBernstein's approximation, Numerical method, Asymptotics, Singularly perturbed integral equation, Convergence analysisen_US
dc.subjectINTEGRODIFFERENTIAL EQUATION, NUMERICAL-SOLUTION, SYSTEMSen_US
dc.titleBernstein operator method for approximate solution of singularly perturbed Volterra integral equationsen_US
dc.typearticleen_US
dc.relation.journalJOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONSen_US
dc.contributor.departmentOrdu Üniversitesien_US
dc.contributor.authorID0000-0003-4564-6211en_US
dc.contributor.authorID0000-0002-8398-365Xen_US
dc.identifier.volume507en_US
dc.identifier.issue2en_US
Appears in Collections:Matematik

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