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dc.contributor.authorRahimi, Mahbubehen_US
dc.contributor.authorAdibi, Hojatollahen_US
dc.contributor.authorAmirfakhrian, Majiden_US
dc.date.accessioned2023-01-03T17:00:02Z
dc.date.available2023-01-03T17:00:02Z
dc.date.issued2023-01
dc.identifier.citationRahimi, M., Adibi, H. & Amirfakhrian, M. (2023). Applying multiquadric quasi-interpolation to solve Fokker-Planck equation. TWMS Journal Of Applied And Engineering Mathematics, 13(1), 152-163.en_US
dc.identifier.issn2146-1147en_US
dc.identifier.issn2587-1013en_US
dc.identifier.urihttp://belgelik.isikun.edu.tr/xmlui/handle/iubelgelik/5210
dc.identifier.urihttp://jaem.isikun.edu.tr/web/index.php/current/118-vol13no1/952
dc.description.abstractThe Fokker-Planck equation (FPE) arises in various fields in physics, chemistry, natural science. It is difficult to obtain analytical solutions, accordingly we resort to numerical methods. In this study, we present a meshfree method to solve FPE. It is based on the multiquadric quasi-interpolation (MQQI) operator LW2 and collocation technique. Here, ?-weighted finite difference scheme is used to discretize the temporal derivative. Then, the unknown function and its spatial derivatives are approximated by the multiquadric quasi-interpolation (MQQI) operator LW2. Furthermore, the stability of the technique is investigated. This method is applied to some examples and the numerical results have been compared with the exact solutions and results of another method.en_US
dc.language.isoenen_US
dc.publisherIşık University Pressen_US
dc.relation.ispartofTWMS Journal Of Applied And Engineering Mathematicsen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.rightsAttribution-NonCommercial-NoDerivs 3.0 United States*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/us/*
dc.subjectFokker-Planck equationen_US
dc.subjectMultiquadric quasi-interpolationen_US
dc.subjectθ-weighted finite difference methoden_US
dc.subjectCollocation methoden_US
dc.subjectMeshless methoden_US
dc.titleApplying multiquadric quasi-interpolation to solve Fokker-Planck equationen_US
dc.typeArticleen_US
dc.description.versionPublisher's Versionen_US
dc.identifier.volume13
dc.identifier.issue1
dc.identifier.startpage152
dc.identifier.endpage165
dc.peerreviewedYesen_US
dc.publicationstatusPublisheden_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Başka Kurum Yazarıen_US
dc.indekslendigikaynakEmerging Sources Citation Index (ESCI)en_US
dc.indekslendigikaynakMathScineten_US
dc.indekslendigikaynakScopusen_US


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