A unified approach for the numerical solution of time fractional Burgers' type equations

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dc.authoridOruç, Ömer/0000-0002-6655-3543
dc.authoridEsen, Alaattin/0000-0002-7927-5941
dc.authoridBulut, Fatih/0000-0001-6603-2468
dc.authorwosidOruç, Ömer/R-2813-2019
dc.authorwosidEsen, Alaattin/ABE-5694-2021
dc.authorwosidBulut, Fatih/F-7201-2013
dc.contributor.authorEsen, A.
dc.contributor.authorBulut, F.
dc.contributor.authorOruc, O.
dc.date.accessioned2024-08-04T20:41:41Z
dc.date.available2024-08-04T20:41:41Z
dc.date.issued2016
dc.departmentİnönü Üniversitesien_US
dc.description.abstractIn this paper, a relatively new approach is devised for obtaining approximate solution of time fractional partial differential equations. Time fractional diffusion equation and time fractional Burgers-Fisher equation are solved with Haar wavelet method where fractional derivatives are Caputo derivative. Time discretization of the problems made by L1 discretization formula and space derivatives discretized by Haar series. L-2 and L-infinity error norms are used for measuring accuracy of the proposed method. Numerical results obtained with proposed method compared with exact solutions as well as with available results from the literature. The numerical results verify the feasibility of Haar wavelet combined with L1 discretization formula for the considered problems.en_US
dc.identifier.doi10.1140/epjp/i2016-16116-5
dc.identifier.issn2190-5444
dc.identifier.issue4en_US
dc.identifier.scopus2-s2.0-84964262434en_US
dc.identifier.scopusqualityQ2en_US
dc.identifier.urihttps://doi.org/10.1140/epjp/i2016-16116-5
dc.identifier.urihttps://hdl.handle.net/11616/97286
dc.identifier.volume131en_US
dc.identifier.wosWOS:000374592700001en_US
dc.identifier.wosqualityQ2en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherSpringer Heidelbergen_US
dc.relation.ispartofEuropean Physical Journal Plusen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectDifferential Transform Methoden_US
dc.subjectWavelet Operational Matrixen_US
dc.subjectDiffusionen_US
dc.subjectSimulationen_US
dc.titleA unified approach for the numerical solution of time fractional Burgers' type equationsen_US
dc.typeArticleen_US

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