A B-spline collocation method for solving fractional diffusion and fractional diffusion-wave equations

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dc.authoridUÇAR, Yusuf/0000-0003-1469-5002
dc.authoridEsen, Alaattin/0000-0002-7927-5941
dc.authoridYAĞMURLU, Nuri Murat/0000-0003-1593-0254;
dc.authorwosidUÇAR, Yusuf/ABG-8562-2020
dc.authorwosidEsen, Alaattin/ABE-5694-2021
dc.authorwosidYAĞMURLU, Nuri Murat/AAB-8514-2020
dc.authorwosidEsen, Alaattin/F-2415-2016
dc.contributor.authorEsen, A.
dc.contributor.authorTasbozan, O.
dc.contributor.authorUcar, Y.
dc.contributor.authorYagmurlu, N. M.
dc.date.accessioned2024-08-04T20:56:15Z
dc.date.available2024-08-04T20:56:15Z
dc.date.issued2015
dc.departmentİnönü Üniversitesien_US
dc.description.abstractIn this paper,we have considered the fractional diffusion and fractional diffusion wave equations in which the time derivative is a fractional derivative in the Caputo form and have obtained their numerical solutions by collocation method using cubic B-spline base functions. In the solution process, for the fractional diffusion equation L1 discretizaton formula of the fractional derivative is applied, and for the fractional diffusion-wave equation L2 discretizaton formula of the fractional derivative is applied. Accuracy of the proposed method is discussed by computing the error norms L2 and L-infinity. A stability analysis of the approximation obtained by the scheme shows that the method is unconditionally stable.en_US
dc.identifier.doi10.1515/tmj-2015-0020
dc.identifier.endpage193en_US
dc.identifier.issn1875-158X
dc.identifier.issn1512-0139
dc.identifier.issue2en_US
dc.identifier.startpage181en_US
dc.identifier.urihttps://doi.org/10.1515/tmj-2015-0020
dc.identifier.urihttps://hdl.handle.net/11616/102162
dc.identifier.volume8en_US
dc.identifier.wosWOS:000219434000016en_US
dc.identifier.wosqualityN/Aen_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.language.isoenen_US
dc.publisherTbilisi Centre Math Scien_US
dc.relation.ispartofTbilisi Mathematical Journalen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectFinite element methoden_US
dc.subjectCollocation methoden_US
dc.subjectFractional diffusion equationen_US
dc.subjectFractional diffusion-wave equationen_US
dc.subjectCubic B-splineen_US
dc.titleA B-spline collocation method for solving fractional diffusion and fractional diffusion-wave equationsen_US
dc.typeArticleen_US

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