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

Usta, Fuat; Akyigit, Mahmut; Say, Fatih; Ansari, Khursheed J.

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dc.contributor.authors	Usta, Fuat; Akyigit, Mahmut; Say, Fatih; Ansari, Khursheed J.
dc.date.accessioned	2022-12-20T13:25:14Z
dc.date.available	2022-12-20T13:25:14Z
dc.date.issued	2022
dc.identifier.issn	0022-247X
dc.identifier.uri	http://dx.doi.org/10.1016/j.jmaa.2021.125828
dc.identifier.uri	https://hdl.handle.net/20.500.12619/99255
dc.description	Bu yayının lisans anlaşması koşulları tam metin açık erişimine izin vermemektedir.
dc.description.abstract	An 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.
dc.language	English
dc.language.iso	eng
dc.relation.isversionof	10.1016/j.jmaa.2021.125828
dc.subject	Mathematics
dc.subject	Bernstein's approximation
dc.subject	Numerical method
dc.subject	Asymptotics
dc.subject	Singularly perturbed integral equation
dc.subject	Convergence analysis
dc.title	Bernstein operator method for approximate solution of singularly perturbed Volterra integral equations
dc.contributor.authorID	ansari, khursheed J./0000-0003-4564-6211
dc.contributor.authorID	akyigit, mahmut/0000-0002-8398-365X
dc.identifier.volume	507
dc.relation.journal	JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
dc.identifier.issue	2
dc.identifier.doi	10.1016/j.jmaa.2021.125828
dc.identifier.eissn	1096-0813
dc.contributor.author	Usta, Fuat
dc.contributor.author	Akyigit, Mahmut
dc.contributor.author	Say, Fatih
dc.contributor.author	Ansari, Khursheed J.
dc.relation.publicationcategory	Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı