Numerical Solutions of Fuzzy Differential Equations by an Efficient Runge-Kutta Method With Generalized Differentiability
| dc.contributor.author | Salahshour, Soheil | |
| dc.contributor.author | Chan, Chee Seng | |
| dc.contributor.author | Baleanu, Dumitru | |
| dc.contributor.author | Ahmadian, Ali | |
| dc.date.accessioned | 2020-04-12T16:55:28Z | |
| dc.date.accessioned | 2025-09-18T14:10:53Z | |
| dc.date.available | 2020-04-12T16:55:28Z | |
| dc.date.available | 2025-09-18T14:10:53Z | |
| dc.date.issued | 2018 | |
| dc.description | Salahshour, Soheil/0000-0003-1390-3551; Chan, Chee Seng/0000-0001-7677-2865; Ahmadian, Ali/0000-0002-0106-7050 | en_US |
| dc.description.abstract | In this paper, an extended fourth-order Runge-Kutta method is studied to approximate the solutions of first-order fuzzy differential equations using a generalized characterization theorem. In this method, new parameters are utilized in order to enhance the order of accuracy of the solutions using evaluations of both f and f', instead of using the evaluations of f only. The proposed extended Runge-Kutta method and its error analysis, which guarantees pointwise convergence, are given in detail. Furthermore, the accuracy and efficiency of the proposed method are demonstrated in a series of numerical experiments. (C) 2016 Elsevier B.V. All rights reserved. | en_US |
| dc.description.sponsorship | University of Malaya HIR [UM.C/625/HIR/MOHE/FCSIT/08, B000008] | en_US |
| dc.description.sponsorship | The work of the first and third author (Ali Ahmadian and Chee Seng Chan) is supported by the University of Malaya HIR under Grant UM.C/625/HIR/MOHE/FCSIT/08, B000008. | en_US |
| dc.identifier.doi | 10.1016/j.fss.2016.11.013 | |
| dc.identifier.issn | 0165-0114 | |
| dc.identifier.issn | 1872-6801 | |
| dc.identifier.scopus | 2-s2.0-85008172901 | |
| dc.identifier.uri | https://doi.org/10.1016/j.fss.2016.11.013 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/13844 | |
| dc.language.iso | en | en_US |
| dc.publisher | Elsevier | en_US |
| dc.relation.ispartof | Fuzzy Sets and Systems | |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Error Analysis | en_US |
| dc.subject | Fuzzy Ordinary Differential Equations | en_US |
| dc.subject | Fuzzy Differentiability | en_US |
| dc.subject | Characterization Theorem | en_US |
| dc.subject | Runge-Kutta Methods | en_US |
| dc.title | Numerical Solutions of Fuzzy Differential Equations by an Efficient Runge-Kutta Method With Generalized Differentiability | en_US |
| dc.title | Numerical Solutions of Fuzzy Differential Equations By an Efficient Runge-Kutta Method With Generalized Differentiability | tr_TR |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
| gdc.author.id | Salahshour, Soheil/0000-0003-1390-3551 | |
| gdc.author.id | Chan, Chee Seng/0000-0001-7677-2865 | |
| gdc.author.id | Ahmadian, Ali/0000-0002-0106-7050 | |
| gdc.author.scopusid | 55602202100 | |
| gdc.author.scopusid | 23028598900 | |
| gdc.author.scopusid | 57194450557 | |
| gdc.author.scopusid | 7005872966 | |
| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
| gdc.author.wosid | Salahshour, Soheil/K-4817-2019 | |
| gdc.author.wosid | Chan, Chee Seng/B-9754-2011 | |
| gdc.author.wosid | Ahmadian, Ali/N-3697-2015 | |
| gdc.author.yokid | 56389 | |
| gdc.bip.impulseclass | C3 | |
| 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 | [Ahmadian, Ali; Chan, Chee Seng] Univ Malaya, Fac Comp Sci & Informat Technol, Ctr Image & Signal Proc, Kuala Lumpur 50603, Malaysia; [Salahshour, Soheil] Islamic Azad Univ, Mobarakeh Branch, Young Researchers & Elite Club, Mobarakeh, Iran; [Baleanu, Dumitru] Cankaya Univ, Dept Math, TR-06530 Ankara, Turkey; [Baleanu, Dumitru] Inst Space Sci, Magurele, Romania | en_US |
| gdc.description.endpage | 67 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q2 | |
| gdc.description.startpage | 47 | en_US |
| gdc.description.volume | 331 | en_US |
| gdc.description.woscitationindex | Science Citation Index Expanded | |
| gdc.description.wosquality | Q1 | |
| gdc.identifier.openalex | W2557322020 | |
| gdc.identifier.wos | WOS:000419254700006 | |
| gdc.index.type | WoS | |
| gdc.index.type | Scopus | |
| gdc.oaire.diamondjournal | false | |
| gdc.oaire.impulse | 36.0 | |
| gdc.oaire.influence | 5.9624963E-9 | |
| gdc.oaire.isgreen | false | |
| gdc.oaire.keywords | QA75 Electronic computers. Computer science | |
| gdc.oaire.keywords | QA Mathematics | |
| gdc.oaire.keywords | Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations | |
| gdc.oaire.keywords | Runge-Kutta methods | |
| gdc.oaire.keywords | Fuzzy ordinary differential equations | |
| gdc.oaire.keywords | fuzzy differentiability | |
| gdc.oaire.keywords | fuzzy ordinary differential equations | |
| gdc.oaire.keywords | characterization theorem | |
| gdc.oaire.keywords | error analysis | |
| gdc.oaire.popularity | 2.9799674E-8 | |
| gdc.oaire.publicfunded | false | |
| gdc.oaire.sciencefields | 0202 electrical engineering, electronic engineering, information engineering | |
| gdc.oaire.sciencefields | 02 engineering and technology | |
| gdc.openalex.collaboration | International | |
| gdc.openalex.fwci | 8.5164 | |
| gdc.openalex.normalizedpercentile | 0.98 | |
| gdc.openalex.toppercent | TOP 10% | |
| gdc.opencitations.count | 57 | |
| gdc.plumx.crossrefcites | 26 | |
| gdc.plumx.mendeley | 28 | |
| gdc.plumx.scopuscites | 66 | |
| gdc.publishedmonth | 1 | |
| gdc.scopus.citedcount | 68 | |
| gdc.virtual.author | Baleanu, Dumitru | |
| gdc.wos.citedcount | 55 | |
| 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 |