Numerical Solution of Linear Integral Equations System Using the Bernstein Collocation Method
| dc.contributor.author | Nia, Safa A. Measoomy | |
| dc.contributor.author | Golmankhaneh, Alireza K. | |
| dc.contributor.author | Baleanu, Dumitru | |
| dc.contributor.author | Jafarian, Ahmad | |
| dc.date.accessioned | 2020-04-03T22:06:22Z | |
| dc.date.accessioned | 2025-09-18T12:48:57Z | |
| dc.date.available | 2020-04-03T22:06:22Z | |
| dc.date.available | 2025-09-18T12:48:57Z | |
| dc.date.issued | 2013 | |
| dc.description | Khalili Golmankhaneh, Alireza/0000-0002-5008-0163; Khalili Golmankhaneh, Alireza/0000-0003-1529-7807; , Alireza/0000-0002-3490-7976 | en_US |
| dc.description.abstract | Since in some application mathematical problems finding the analytical solution is too complicated, in recent years a lot of attention has been devoted by researchers to find the numerical solution of this equations. In this paper, an application of the Bernstein polynomials expansion method is applied to solve linear second kind Fredholm and Volterra integral equations systems. This work reduces the integral equations system to a linear system in generalized case such that the solution of the resulting system yields the unknown Bernstein coefficients of the solutions. Illustrative examples are provided to demonstrate the preciseness and effectiveness of the proposed technique. The results are compared with the exact solution by using computer simulations. | en_US |
| dc.identifier.citation | Jafarian, Ahmad...et al. (2013). "Numerical solution of linear integral equations system using the Bernstein collocation method", Advances In Difference Equations. | en_US |
| dc.identifier.doi | 10.1186/1687-1847-2013-123 | |
| dc.identifier.issn | 1687-1847 | |
| dc.identifier.scopus | 2-s2.0-84893984155 | |
| dc.identifier.uri | https://doi.org/10.1186/1687-1847-2013-123 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/12205 | |
| dc.language.iso | en | en_US |
| dc.publisher | Springer international Publishing Ag | en_US |
| dc.relation.ispartof | Advances in Difference Equations | |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.title | Numerical Solution of Linear Integral Equations System Using the Bernstein Collocation Method | en_US |
| dc.title | Numerical Solution of Linear Integral Equations System Using the Bernstein Collocation Method | tr_TR |
| dc.type | Article | en_US |
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| gdc.author.id | Khalili Golmankhaneh, Alireza/0000-0002-5008-0163 | |
| gdc.author.id | Khalili Golmankhaneh, Alireza/0000-0003-1529-7807 | |
| gdc.author.id | , Alireza/0000-0002-3490-7976 | |
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| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
| gdc.author.wosid | Khalili Golmankhaneh, Alireza/L-1554-2013 | |
| gdc.author.wosid | Khalili Golmankhaneh, Alireza/L-1534-2013 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Jafarian, Ahmad; Nia, Safa A. Measoomy] Islamic Azad Univ, Urmia Branch, Dept Math, Orumiyeh, Iran; [Golmankhaneh, Alireza K.] Islamic Azad Univ, Urmia Branch, Dept Phys, Orumiyeh, Iran; [Baleanu, Dumitru] Cankaya Univ, Fac Art & Sci, Dept Math & Comp Sci, TR-0630 Ankara, Turkey; [Baleanu, Dumitru] King Abdulaziz Univ, Dept Chem & Mat Engn, Fac Engn, Jeddah 21589, Saudi Arabia; [Baleanu, Dumitru] Inst Space Sci, Bucharest 76900, Romania | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.volume | 2013 | |
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| gdc.oaire.keywords | Simultaneous equations | |
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| gdc.oaire.keywords | Orthogonal Polynomials | |
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| gdc.oaire.keywords | Algebra and Number Theory | |
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| gdc.oaire.keywords | Fredholm integral equation | |
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| gdc.oaire.keywords | Volterra integral equation | |
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| gdc.oaire.keywords | linear Fredholm integral equations system | |
| gdc.oaire.keywords | Numerical methods for integral equations | |
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