Collocation Finite Element Method for the Fractional Fokker-Planck Equation

Basit Öğe Kaydı
dc.contributor.authorKarabenli, Hatice
dc.contributor.authorEsen, Alaattin
dc.contributor.authorUcar, Yusuf
dc.date.accessioned2026-04-04T13:37:40Z
dc.date.available2026-04-04T13:37:40Z
dc.date.issued2025
dc.departmentİnönü Üniversitesi
dc.description.abstractIn this study, the approximate results of the fractional Fokker-Planck equations have been investigated. First, finite element schemes have been obtained using collocation finite element method based on the trigonometric quintic B-spline basis functions. Then, the present method is tested on two fundamental problems having appropriate initial conditions. The newly obtained numerical results contained the error norms L2$$ {L}_2 $$ and L infinity$$ {L}_{\infty } $$ for various temporal and spatial steps are compared with the exact ones and other solutions. More accurate results have been obtained for large numbers of spatial and temporal elements. This study explores approximate solutions for fractional Fokker-Planck equations using general finite element schemes developed via the collocation finite element method with trigonometric quintic B-spline basis functions. It validates these methods on two fundamental problems and compares numerical results, including L2$$ {L}_2 $$ and L infinity$$ {L}_{\infty } $$ error norms across different temporal and spatial steps, against exact solutions and alternative methods. The findings highlight strong agreement between approximate and exact solutions, particularly when employing higher numbers of spatial and temporal elements. image
dc.identifier.doi10.1002/fld.5343
dc.identifier.endpage232
dc.identifier.issn0271-2091
dc.identifier.issn1097-0363
dc.identifier.issue3
dc.identifier.orcid0000-0003-1469-5002
dc.identifier.scopus2-s2.0-85206166461
dc.identifier.scopusqualityQ1
dc.identifier.startpage224
dc.identifier.urihttps://doi.org/10.1002/fld.5343
dc.identifier.urihttps://hdl.handle.net/11616/109984
dc.identifier.volume97
dc.identifier.wosWOS:001330262600001
dc.identifier.wosqualityQ2
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherWiley
dc.relation.ispartofInternational Journal For Numerical Methods in Fluids
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_WOS_20250329
dc.subjectcollocation finite element method
dc.subjectfractional Fokker-Planck equation
dc.subjecttrigonometric quintic B-spline
dc.titleCollocation Finite Element Method for the Fractional Fokker-Planck Equation
dc.typeArticle

Dosyalar

Koleksiyon

WoS İndeksli Yayınlar Koleksiyonu
Scopus İndeksli Yayınlar Koleksiyonu