Bernstein approximation technique for numerical solution of Volterra integral equations of the third kind
| dc.contributor.author | Usta, Fuat | |
| dc.date.accessioned | 2021-12-01T18:47:01Z | |
| dc.date.available | 2021-12-01T18:47:01Z | |
| dc.date.issued | 2021 | |
| dc.department | DÜ, Fen-Edebiyat Fakültesi, Matematik Bölümü | en_US |
| dc.description.abstract | We propose a numerical scheme based upon the Bernstein approximation method for computational solution of a new class of Volterra integral equations of the third kind (3rdVIEs). Construction of the technique and its practicality for proposed equations have been introduced. Furthermore we have examined the numerability and convergence analysis of the proposed scheme. Finally, we demonstrate a series of numerical examples demonstrating the effectiveness of this new technique for solving 3rdVIEs. | en_US |
| dc.identifier.doi | 10.1007/s40314-021-01555-x | |
| dc.identifier.issn | 2238-3603 | |
| dc.identifier.issn | 1807-0302 | |
| dc.identifier.issue | 5 | en_US |
| dc.identifier.scopus | 2-s2.0-85107772325 | en_US |
| dc.identifier.scopusquality | Q2 | en_US |
| dc.identifier.uri | https://doi.org/10.1007/s40314-021-01555-x | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12684/10102 | |
| dc.identifier.volume | 40 | en_US |
| dc.identifier.wos | WOS:000660553100001 | en_US |
| dc.identifier.wosquality | Q1 | en_US |
| dc.indekslendigikaynak | Web of Science | en_US |
| dc.indekslendigikaynak | Scopus | en_US |
| dc.institutionauthor | Usta, Fuat | |
| dc.language.iso | en | en_US |
| dc.publisher | Springer Heidelberg | en_US |
| dc.relation.ispartof | Computational & Applied Mathematics | en_US |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Bernstein approximation | en_US |
| dc.subject | Volterra integral equations of the third kind | en_US |
| dc.subject | Convergence order | en_US |
| dc.subject | Collocation Methods | en_US |
| dc.title | Bernstein approximation technique for numerical solution of Volterra integral equations of the third kind | en_US |
| dc.type | Article | en_US |
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