A Haar wavelet-finite difference hybrid method for the numerical solution of the modified Burgers' equation

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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/F-2415-2016
dc.authorwosidEsen, Alaattin/ABE-5694-2021
dc.authorwosidBulut, Fatih/F-7201-2013
dc.contributor.authorOruc, O.
dc.contributor.authorBulut, F.
dc.contributor.authorEsen, A.
dc.date.accessioned2024-08-04T20:42:37Z
dc.date.available2024-08-04T20:42:37Z
dc.date.issued2015
dc.departmentİnönü Üniversitesien_US
dc.description.abstractIn this paper, we investigate the numerical solutions of one dimensional modified Burgers' equation with the help of Haar wavelet method. In the solution process, the time derivative is discretized by finite difference, the nonlinear term is linearized by a linearization technique and the spatial discretization is made by Haar wavelets. The proposed method has been tested by three test problems. The obtained numerical results are compared with the exact ones and those already exist in the literature. Also, the calculated numerical solutions are drawn graphically. Computer simulations show that the presented method is computationally cheap, fast, reliable and quite good even in the case of small number of grid points.en_US
dc.identifier.doi10.1007/s10910-015-0507-5
dc.identifier.endpage1607en_US
dc.identifier.issn0259-9791
dc.identifier.issn1572-8897
dc.identifier.issue7en_US
dc.identifier.scopus2-s2.0-84983467318en_US
dc.identifier.scopusqualityQ2en_US
dc.identifier.startpage1592en_US
dc.identifier.urihttps://doi.org/10.1007/s10910-015-0507-5
dc.identifier.urihttps://hdl.handle.net/11616/97484
dc.identifier.volume53en_US
dc.identifier.wosWOS:000357289200006en_US
dc.identifier.wosqualityQ3en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherSpringeren_US
dc.relation.ispartofJournal of Mathematical Chemistryen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectHaar wavelet methoden_US
dc.subjectModified Burgers' equationen_US
dc.subjectLinearizationen_US
dc.subjectFinite differencesen_US
dc.subjectNumerical solutionen_US
dc.titleA Haar wavelet-finite difference hybrid method for the numerical solution of the modified Burgers' equationen_US
dc.typeArticleen_US

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