Hybrid Bernstein Block-Pulse Functions Method for Second Kind Integral Equations With Convergence Analysis
| dc.contributor.author | Baleanu, Dumitru | |
| dc.contributor.author | Babaei, Fereshteh | |
| dc.contributor.author | Alipour, Mohsen | |
| dc.date.accessioned | 2020-04-29T22:50:24Z | |
| dc.date.accessioned | 2025-09-18T12:04:45Z | |
| dc.date.available | 2020-04-29T22:50:24Z | |
| dc.date.available | 2025-09-18T12:04:45Z | |
| dc.date.issued | 2014 | |
| dc.description.abstract | We introduce a new combination of Bernstein polynomials (BPs) and Block-Pulse functions (BPFs) on the interval [0, 1]. These functions are suitable for finding an approximate solution of the second kind integral equation. We call this method Hybrid Bernstein Block-Pulse Functions Method (HBBPFM). This method is very simple such that an integral equation is reduced to a system of linear equations. On the other hand, convergence analysis for this method is discussed. The method is computationally very simple and attractive so that numerical examples illustrate the efficiency and accuracy of this method. | en_US |
| dc.identifier.doi | 10.1155/2014/623763 | |
| dc.identifier.issn | 1085-3375 | |
| dc.identifier.issn | 1687-0409 | |
| dc.identifier.scopus | 2-s2.0-84896452420 | |
| dc.identifier.uri | https://doi.org/10.1155/2014/623763 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/10437 | |
| dc.language.iso | en | en_US |
| dc.publisher | Hindawi Ltd | en_US |
| dc.relation.ispartof | Abstract and Applied Analysis | |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.title | Hybrid Bernstein Block-Pulse Functions Method for Second Kind Integral Equations With Convergence Analysis | en_US |
| dc.title | Hybrid Bernstein Block-Pulse Functions Method for Second Kind Integral Equations with Convergence Analysis | tr_TR |
| dc.type | Article | en_US |
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| gdc.author.wosid | Alipour, Mohsen/Abg-9213-2021 | |
| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Alipour, Mohsen; Babaei, Fereshteh] Babol Univ Technol, Fac Basic Sci, Babol Sar, Iran; [Baleanu, Dumitru] Cankaya Univ, Dept Math, TR-06530 Ankara, Turkey; [Baleanu, Dumitru] Inst Space Sci, Bucharest 077125, Romania; [Baleanu, Dumitru] King Abdulaziz Univ, Fac Engn, Dept Chem & Mat Engn, Jeddah 21589, Saudi Arabia | en_US |
| gdc.description.endpage | 8 | |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
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| gdc.description.volume | 2014 | |
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| gdc.oaire.keywords | Geometry | |
| gdc.oaire.keywords | Epistemology | |
| gdc.oaire.keywords | Mathematical analysis | |
| gdc.oaire.keywords | Convergence Analysis of Iterative Methods for Nonlinear Equations | |
| gdc.oaire.keywords | Bernstein Polynomials | |
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