A Galerkin Finite Element Method to Solve Fractional Diffusion and Fractional Diffusion-Wave Equations

Basit Öğe Kaydı
dc.authoridEsen, Alaattin/0000-0002-7927-5941
dc.authoridUÇAR, Yusuf/0000-0003-1469-5002
dc.authoridYAĞMURLU, Nuri Murat/0000-0003-1593-0254
dc.authorwosidEsen, Alaattin/ABE-5694-2021
dc.authorwosidUÇAR, Yusuf/ABG-8562-2020
dc.authorwosidYAĞMURLU, Nuri Murat/AAB-8514-2020
dc.contributor.authorEsen, Alaattin
dc.contributor.authorUcar, Yusuf
dc.contributor.authorYagmurlu, Nuri
dc.contributor.authorTasbozan, Orkun
dc.date.accessioned2024-08-04T20:37:32Z
dc.date.available2024-08-04T20:37:32Z
dc.date.issued2013
dc.departmentİnönü Üniversitesien_US
dc.description.abstractIn the present study, numerical solutions of the fractional diffusion and fractional diffusion-wave equations where fractional derivatives are considered in the Caputo sense have been obtained by a Galerkin finite element method using quadratic B-spline base functions. For the fractional diffusion equation, the L1 discretizaton formula is applied, whereas the L2 discretizaton formula is applied for the fractional diffusion-wave equation. The error norms L2 and L1 are computed to test the accuracy of the proposed method. It is shown that the present scheme is unconditionally stable by applying a stability analysis to the approximation obtained by the proposed scheme.en_US
dc.identifier.doi10.3846/13926292.2013.783884
dc.identifier.endpage273en_US
dc.identifier.issn1392-6292
dc.identifier.issn1648-3510
dc.identifier.issue2en_US
dc.identifier.scopus2-s2.0-84876308850en_US
dc.identifier.scopusqualityQ3en_US
dc.identifier.startpage260en_US
dc.identifier.urihttps://doi.org/10.3846/13926292.2013.783884
dc.identifier.urihttps://hdl.handle.net/11616/96010
dc.identifier.volume18en_US
dc.identifier.wosWOS:000318165900008en_US
dc.identifier.wosqualityQ3en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherVilnius Gediminas Tech Univen_US
dc.relation.ispartofMathematical Modelling and Analysisen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectfinite element methoden_US
dc.subjectGalerkin methoden_US
dc.subjectfractional diffusion equationen_US
dc.subjectfractional diffusion-wave equationen_US
dc.subjectquadratic B-splineen_US
dc.titleA Galerkin Finite Element Method to Solve Fractional Diffusion and Fractional Diffusion-Wave Equationsen_US
dc.typeArticleen_US

Dosyalar

Koleksiyon

WoS İndeksli Yayınlar Koleksiyonu
Scopus İndeksli Yayınlar Koleksiyonu