AN APPLICATION OF CUBIC B-SPLINE FINITE ELEMENT METHOD FOR THE BURGERS' EQUATION

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dc.authorwosidAksan, Emine Nesligül/AAA-4222-2021
dc.contributor.authorAksan, Emine Nesligul
dc.date.accessioned2024-08-04T20:44:29Z
dc.date.available2024-08-04T20:44:29Z
dc.date.issued2018
dc.departmentİnönü Üniversitesien_US
dc.description.abstractIt is difficult to achieve exact solution of non-linear PDE, directly. Sometimes, it is possible to convert non-linear PDE into equivalent linear PDE by applying a convenient transformation. Hence, Burgers' equation replaces with heat equation by means of the Hope-Cole transformation. In this study, Burgers' equation was converted to a set of non-linear ODE by keeping non-linear structure of Burgers' equation. In this case, solutions for each of the non-linear ODE were obtained by the help of the cubic B-spline finite element method. Model problems were considered to verify the efficiency of this method. Agreement of the solutions was shown with graphics and tables.en_US
dc.identifier.doi10.2298/TSCI170613286A
dc.identifier.endpageS202en_US
dc.identifier.issn0354-9836
dc.identifier.issn2334-7163
dc.identifier.scopus2-s2.0-85046870343en_US
dc.identifier.scopusqualityQ3en_US
dc.identifier.startpageS195en_US
dc.identifier.urihttps://doi.org/10.2298/TSCI170613286A
dc.identifier.urihttps://hdl.handle.net/11616/98284
dc.identifier.volume22en_US
dc.identifier.wosWOS:000431094700023en_US
dc.identifier.wosqualityQ3en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherVinca Inst Nuclear Scien_US
dc.relation.ispartofThermal Scienceen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectBurgers' equationen_US
dc.subjectcubic B-spline functionsen_US
dc.subjectfinite element methoden_US
dc.titleAN APPLICATION OF CUBIC B-SPLINE FINITE ELEMENT METHOD FOR THE BURGERS' EQUATIONen_US
dc.typeArticleen_US

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