A Numerical Solution of the Urysohn-Type Fredholm İntegral Equations
| dc.authorid | Khalili Golmankhaneh, Alireza/0000-0002-5008-0163 | |
| dc.authorid | , Alireza/0000-0002-3490-7976 | |
| dc.authorscopusid | 25031262700 | |
| dc.authorscopusid | 56363196600 | |
| dc.authorscopusid | 25122552100 | |
| dc.authorscopusid | 7005872966 | |
| dc.authorwosid | Baleanu, Dumitru/B-9936-2012 | |
| dc.authorwosid | Khalili Golmankhaneh, Alireza/L-1554-2013 | |
| dc.contributor.author | Jafarian, A. | |
| dc.contributor.author | Baleanu, Dumitru | |
| dc.contributor.author | Measoomy, S. A. | |
| dc.contributor.author | Golmankhaneh, Alireza K. | |
| dc.contributor.author | Baleanu, D. | |
| dc.contributor.authorID | 56389 | tr_TR |
| dc.contributor.other | Matematik | |
| dc.date.accessioned | 2020-05-01T21:27:56Z | |
| dc.date.available | 2020-05-01T21:27:56Z | |
| dc.date.issued | 2014 | |
| dc.department | Çankaya University | en_US |
| dc.department-temp | [Jafarian, A.; Measoomy, S. A.; Golmankhaneh, Alireza K.] Islamic Azad Univ, Urmia Branch, Dept Math, Oromiyeh, Iran; [Baleanu, D.] King Abdulaziz Univ, Fac Engn, Dept Chem & Mat Engn, Jeddah 21589, Saudi Arabia; [Baleanu, D.] Cankaya Univ, Dept Math & Comp Sci, TR-06530 Ankara, Turkey; [Baleanu, D.] Inst Space Sci, RO-077125 Magurele, Romania | en_US |
| dc.description | Khalili Golmankhaneh, Alireza/0000-0002-5008-0163; , Alireza/0000-0002-3490-7976 | en_US |
| dc.description.abstract | In the present paper, a combination of the Bernstein polynomials and artificial neural networks (ANNs) is presented for solving the non-linear Urysohn equation. These polynomials are utilized to reduce the solution of the given problem to the solution of a system of non-linear algebraic equations. The remaining set of non-linear equations is solved numerically by using the ANNs approach to yield truncated Bernstein series coefficients a the solution function. Several illustrative examples with numerical simulations are provided to support the theoretical claims. | en_US |
| dc.description.woscitationindex | Science Citation Index Expanded | |
| dc.identifier.citation | Jafarian, A...et al. (2014). "A Numerical Solution of the Urysohn-Type Fredholm İntegral Equations", Romanian Journal of Physics, Vol. 59, No. 7-8, pp. 625-635. | en_US |
| dc.identifier.endpage | 635 | en_US |
| dc.identifier.issn | 1221-146X | |
| dc.identifier.issue | 7-8 | en_US |
| dc.identifier.scopus | 2-s2.0-84907172427 | |
| dc.identifier.scopusquality | Q3 | |
| dc.identifier.startpage | 625 | en_US |
| dc.identifier.volume | 59 | en_US |
| dc.identifier.wos | WOS:000342395800002 | |
| dc.identifier.wosquality | Q3 | |
| dc.language.iso | en | en_US |
| dc.publisher | Editura Acad Romane | en_US |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.scopus.citedbyCount | 6 | |
| dc.subject | Urysohn-Type Fredholm Integral Equation | en_US |
| dc.subject | Bernstein Polynomials Method | en_US |
| dc.subject | Artificial Neural Networks Approach | en_US |
| dc.subject | Approximate Solution | en_US |
| dc.title | A Numerical Solution of the Urysohn-Type Fredholm İntegral Equations | tr_TR |
| dc.title | A Numerical Solution of the Urysohn-Type Fredholm Integral Equations | en_US |
| dc.type | Article | en_US |
| dc.wos.citedbyCount | 3 | |
| dspace.entity.type | Publication | |
| relation.isAuthorOfPublication | f4fffe56-21da-4879-94f9-c55e12e4ff62 | |
| relation.isAuthorOfPublication.latestForDiscovery | f4fffe56-21da-4879-94f9-c55e12e4ff62 | |
| relation.isOrgUnitOfPublication | 26a93bcf-09b3-4631-937a-fe838199f6a5 | |
| relation.isOrgUnitOfPublication.latestForDiscovery | 26a93bcf-09b3-4631-937a-fe838199f6a5 |
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