A haar wavelet approximation for two-dimensional time fractional reaction-subdiffusion equation

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dc.authoridEsen, Alaattin/0000-0002-7927-5941
dc.authoridOruç, Ömer/0000-0002-6655-3543
dc.authoridBulut, Fatih/0000-0001-6603-2468
dc.authorwosidEsen, Alaattin/ABE-5694-2021
dc.authorwosidOruç, Ömer/R-2813-2019
dc.authorwosidBulut, Fatih/F-7201-2013
dc.contributor.authorOruc, Omer
dc.contributor.authorEsen, Alaattin
dc.contributor.authorBulut, Fatih
dc.date.accessioned2024-08-04T20:44:17Z
dc.date.available2024-08-04T20:44:17Z
dc.date.issued2019
dc.departmentİnönü Üniversitesien_US
dc.description.abstractIn this study, we established a wavelet method, based on Haar wavelets and finite difference scheme for two-dimensional time fractional reaction-subdiffusion equation. First by a finite difference approach, time fractional derivative which is defined in Riemann-Liouville sense is discretized. After time discretization, spatial variables are expanded to truncated Haar wavelet series, by doing so a fully discrete scheme obtained whose solution gives wavelet coefficients in wavelet series. Using these wavelet coefficients approximate solution constructed consecutively. Feasibility and accuracy of the proposed method is shown on three test problems by measuring error in norm. Further performance of the method is compared with other methods available in literature such as meshless-based methods and compact alternating direction implicit methods.en_US
dc.identifier.doi10.1007/s00366-018-0584-8
dc.identifier.endpage86en_US
dc.identifier.issn0177-0667
dc.identifier.issn1435-5663
dc.identifier.issue1en_US
dc.identifier.scopus2-s2.0-85041849830en_US
dc.identifier.scopusqualityQ1en_US
dc.identifier.startpage75en_US
dc.identifier.urihttps://doi.org/10.1007/s00366-018-0584-8
dc.identifier.urihttps://hdl.handle.net/11616/98151
dc.identifier.volume35en_US
dc.identifier.wosWOS:000456860600006en_US
dc.identifier.wosqualityQ1en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherSpringeren_US
dc.relation.ispartofEngineering With Computersen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectTwo-dimensional Haar waveletsen_US
dc.subjectTwo-dimensional reaction-subdiffusionen_US
dc.subjectFractional two-dimensional problemen_US
dc.subjectNumerical solutionen_US
dc.titleA haar wavelet approximation for two-dimensional time fractional reaction-subdiffusion equationen_US
dc.typeArticleen_US

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