Chebyshev Wavelet Method for Numerical Solutions of Coupled Burgers' Equation

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dc.authoridEsen, Alaattin/0000-0002-7927-5941
dc.authoridBulut, Fatih/0000-0001-6603-2468
dc.authoridOruç, Ömer/0000-0002-6655-3543
dc.authorwosidEsen, Alaattin/ABE-5694-2021
dc.authorwosidBulut, Fatih/F-7201-2013
dc.authorwosidOruç, Ömer/R-2813-2019
dc.contributor.authorOruc, O.
dc.contributor.authorBulut, F.
dc.contributor.authorEsen, A.
dc.date.accessioned2024-08-04T20:09:58Z
dc.date.available2024-08-04T20:09:58Z
dc.date.issued2019
dc.departmentİnönü Üniversitesien_US
dc.description.abstractThis paper deals with the numerical solutions of one dimensional time dependent coupled Burgers' equation with suitable initial and boundary conditions by using Chebyshev wavelets in collaboration with a collocation method. The proposed method converts coupled Burgers' equations into system of algebraic equations by aid of the Chebyshev wavelets and their integrals which can be solved easily with a solver. Benchmarking of the proposed method with exact solution and other known methods already exist in the literature is made by three test problems. The feasibility of the proposed method is demonstrated by test problems and indicates that the proposed method gives accurate results in short cpu times. Computer simulations show that the proposed method is computationally cheap, fast and quite good even in the case of less number of collocation points.en_US
dc.identifier.doi10.15672/HJMS.2018.642
dc.identifier.endpage16en_US
dc.identifier.issn1303-5010
dc.identifier.issue1en_US
dc.identifier.scopus2-s2.0-85066857365en_US
dc.identifier.scopusqualityQ3en_US
dc.identifier.startpage1en_US
dc.identifier.trdizinid296869en_US
dc.identifier.urihttps://doi.org/10.15672/HJMS.2018.642
dc.identifier.urihttps://search.trdizin.gov.tr/yayin/detay/296869
dc.identifier.urihttps://hdl.handle.net/11616/92537
dc.identifier.volume48en_US
dc.identifier.wosWOS:000464826500001en_US
dc.identifier.wosqualityQ3en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.indekslendigikaynakTR-Dizinen_US
dc.language.isoenen_US
dc.publisherHacettepe Univ, Fac Scien_US
dc.relation.ispartofHacettepe Journal of Mathematics and Statisticsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectChebyshev wavelet methoden_US
dc.subjectChebyshev collocationen_US
dc.subjectcoupled Burgers' equationen_US
dc.subjectnonlinear phenomenaen_US
dc.subjectnumerical solutionen_US
dc.titleChebyshev Wavelet Method for Numerical Solutions of Coupled Burgers' Equationen_US
dc.typeArticleen_US

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