Numerical Solutions of Fractional System of Partial Differential Equations By Haar Wavelets

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dc.authoridBulut, Fatih/0000-0001-6603-2468
dc.authoridOruç, Ömer/0000-0002-6655-3543
dc.authoridEsen, Alaattin/0000-0002-7927-5941;
dc.authorwosidBulut, Fatih/F-7201-2013
dc.authorwosidOruç, Ömer/R-2813-2019
dc.authorwosidEsen, Alaattin/ABE-5694-2021
dc.authorwosidEsen, Alaattin/F-2415-2016
dc.contributor.authorBulut, F.
dc.contributor.authorOruc, O.
dc.contributor.authorEsen, A.
dc.date.accessioned2024-08-04T20:41:42Z
dc.date.available2024-08-04T20:41:42Z
dc.date.issued2015
dc.departmentİnönü Üniversitesien_US
dc.description.abstractIn this paper, time fractional one dimensional coupled KdV and coupled modified KdV equations are solved numerically by Haar wavelet method. Proposed method is new in the sense that it doesn't use fractional order Haar operational matrices. In the proposed method L1 discretization formula is used for time discretization where fractional derivatives are Caputo derivative and spatial discretization is made by Haar wavelets. L-2 and L-infinity error norms for various initial and boundary conditions are used for testing accuracy of the proposed method when exact solutions are known. Numerical results which produced by the proposed method for the problems under consideration confirm the feasibility of Haar wavelet method combined with L1 discretization formula.en_US
dc.identifier.endpage284en_US
dc.identifier.issn1526-1492
dc.identifier.issn1526-1506
dc.identifier.issue4en_US
dc.identifier.scopus2-s2.0-84964600711en_US
dc.identifier.scopusqualityQ3en_US
dc.identifier.startpage263en_US
dc.identifier.urihttps://hdl.handle.net/11616/97294
dc.identifier.volume108en_US
dc.identifier.wosWOS:000375023700003en_US
dc.identifier.wosqualityQ3en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherTech Science Pressen_US
dc.relation.ispartofCmes-Computer Modeling in Engineering & Sciencesen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectHaar wavelet methoden_US
dc.subjectFractional coupled KdV equationen_US
dc.subjectFractional coupled MKdV equationen_US
dc.subjectLinearizationen_US
dc.subjectNumerical solutionen_US
dc.titleNumerical Solutions of Fractional System of Partial Differential Equations By Haar Waveletsen_US
dc.typeArticleen_US

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