On Accurate Solution of the Fredholm Integral Equations of the Second Kind
| dc.contributor.author | Hajipour, Mojtaba | |
| dc.contributor.author | Baleanu, Dumitru | |
| dc.contributor.author | Amiri, Sadegh | |
| dc.date.accessioned | 2021-01-29T11:14:44Z | |
| dc.date.accessioned | 2025-09-18T13:28:00Z | |
| dc.date.available | 2021-01-29T11:14:44Z | |
| dc.date.available | 2025-09-18T13:28:00Z | |
| dc.date.issued | 2020 | |
| dc.description | Amiri, Sadegh/0000-0002-3910-5497; Hajipour, Mojtaba/0000-0002-7223-9577 | en_US |
| dc.description.abstract | In this paper, an accurate numerical method based on the cosine-trigonometric basis functions is developed to solve the Fredholm integral equations of the second kind. By using the proposed method, the presented equation is converted into a system of algebraic equations. The convergence analysis of the proposed method is also investigated. To demonstrate the efficiency of the proposed method, the numerical simulations of various types of one- and two-dimensional examples are prepared. Comparative results show that this method is accurate than the other existing methods in the literature. (C) 2019 IMACS. Published by Elsevier B.V. All rights reserved. | en_US |
| dc.identifier.citation | Amiri, Sadegh; Hajipour, Mojtaba; Baleanu, Dumitru (2020). "On accurate solution of the Fredholm integral equations of the second kind", Applied Numerical Mathematics, Vol. 150, pp. 478-490. | en_US |
| dc.identifier.doi | 10.1016/j.apnum.2019.10.017 | |
| dc.identifier.issn | 0168-9274 | |
| dc.identifier.issn | 1873-5460 | |
| dc.identifier.scopus | 2-s2.0-85074487702 | |
| dc.identifier.uri | https://doi.org/10.1016/j.apnum.2019.10.017 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/13116 | |
| dc.language.iso | en | en_US |
| dc.publisher | Elsevier | en_US |
| dc.relation.ispartof | Applied Numerical Mathematics | |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Fredholm Integral Equations | en_US |
| dc.subject | Trigonometric Basis Functions | en_US |
| dc.subject | Accurate Method | en_US |
| dc.title | On Accurate Solution of the Fredholm Integral Equations of the Second Kind | en_US |
| dc.title | On accurate solution of the Fredholm integral equations of the second kind | tr_TR |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
| gdc.author.id | Amiri, Sadegh/0000-0002-3910-5497 | |
| gdc.author.id | Hajipour, Mojtaba/0000-0002-7223-9577 | |
| gdc.author.scopusid | 48560957600 | |
| gdc.author.scopusid | 36455808200 | |
| gdc.author.scopusid | 7005872966 | |
| gdc.author.wosid | Amiri, Sadegh/Aad-4813-2019 | |
| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
| gdc.author.wosid | Hajipour, Mojtaba/E-1417-2015 | |
| gdc.author.yokid | 56389 | |
| gdc.bip.impulseclass | C4 | |
| gdc.bip.influenceclass | C4 | |
| gdc.bip.popularityclass | C4 | |
| gdc.coar.access | metadata only access | |
| gdc.coar.type | text::journal::journal article | |
| gdc.collaboration.industrial | false | |
| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Amiri, Sadegh] Shahid Sattari Aeronaut Univ Sci & Technol, Dept Basic Sci, POB 13846-63113, Tehran, Iran; [Hajipour, Mojtaba] Sahand Univ Technol, Dept Math, POB 51335-1996, Tabriz, Iran; [Baleanu, Dumitru] Cankaya Univ, Fac Arts & Sci, Dept Math, Ankara, Turkey; [Baleanu, Dumitru] Inst Space Sci, MG 23, R-76900 Magurele, Romania; [Baleanu, Dumitru] Hohai Univ, Inst Soft Matter Mech, Dept Engn Mech, Nanjing 210098, Jiangsu, Peoples R China | en_US |
| gdc.description.endpage | 490 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q1 | |
| gdc.description.startpage | 478 | en_US |
| gdc.description.volume | 150 | en_US |
| gdc.description.woscitationindex | Science Citation Index Expanded | |
| gdc.description.wosquality | Q1 | |
| gdc.identifier.openalex | W2981980257 | |
| gdc.identifier.wos | WOS:000513295400032 | |
| gdc.index.type | WoS | |
| gdc.index.type | Scopus | |
| gdc.oaire.diamondjournal | false | |
| gdc.oaire.impulse | 17.0 | |
| gdc.oaire.influence | 3.798669E-9 | |
| gdc.oaire.isgreen | false | |
| gdc.oaire.keywords | Eigenvalue problems for integral equations | |
| gdc.oaire.keywords | trigonometric basis functions | |
| gdc.oaire.keywords | accurate method | |
| gdc.oaire.keywords | Fredholm integral equations | |
| gdc.oaire.keywords | Numerical methods for integral equations | |
| gdc.oaire.keywords | Numerical quadrature and cubature formulas | |
| gdc.oaire.popularity | 1.4588717E-8 | |
| gdc.oaire.publicfunded | false | |
| gdc.oaire.sciencefields | 0101 mathematics | |
| gdc.oaire.sciencefields | 01 natural sciences | |
| gdc.openalex.collaboration | International | |
| gdc.openalex.fwci | 1.7638 | |
| gdc.openalex.normalizedpercentile | 0.84 | |
| gdc.opencitations.count | 20 | |
| gdc.plumx.crossrefcites | 21 | |
| gdc.plumx.mendeley | 11 | |
| gdc.plumx.scopuscites | 23 | |
| gdc.publishedmonth | 4 | |
| gdc.scopus.citedcount | 24 | |
| gdc.virtual.author | Baleanu, Dumitru | |
| gdc.wos.citedcount | 18 | |
| relation.isAuthorOfPublication | f4fffe56-21da-4879-94f9-c55e12e4ff62 | |
| relation.isAuthorOfPublication.latestForDiscovery | f4fffe56-21da-4879-94f9-c55e12e4ff62 | |
| relation.isOrgUnitOfPublication | 26a93bcf-09b3-4631-937a-fe838199f6a5 | |
| relation.isOrgUnitOfPublication | 28fb8edb-0579-4584-a2d4-f5064116924a | |
| relation.isOrgUnitOfPublication | 0b9123e4-4136-493b-9ffd-be856af2cdb1 | |
| relation.isOrgUnitOfPublication.latestForDiscovery | 26a93bcf-09b3-4631-937a-fe838199f6a5 |