AN APPLICATION OF FINITE ELEMENT METHOD FOR A MOVING BOUNDARY PROBLEM

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dc.authoridEsen, Alaattin/0000-0002-7927-5941
dc.authoridkarabenli, hatice/0000-0003-2201-836X
dc.authorwosidEsen, Alaattin/ABE-5694-2021
dc.authorwosidAksan, Emine Nesligül/AAA-4222-2021
dc.contributor.authorAksan, Emine Nesligul
dc.contributor.authorKarabenli, Hatice
dc.contributor.authorEsen, Alaattin
dc.date.accessioned2024-08-04T20:44:30Z
dc.date.available2024-08-04T20:44:30Z
dc.date.issued2018
dc.departmentİnönü Üniversitesien_US
dc.description.abstractThe Stefan problems called as moving boundary problems are defined by the heat equation on the domain 0 < x < s(t). In these problems, the position of moving boundary s(t) is determined as part of the solution. As a result, they are non-linear problems and thus have limited analytical solutions. In this study, we are going to consider a Stefan problem described as solidification problem. After using variable space grid method and boundary immobilization method, collocation finite element method is applied to the model problem. The numerical solutions obtained for the position of moving boundary are compared with the exact ones and the other numerical solutions existing in the literature. The newly obtained numerical results are more accurate than the others for the time step Delta t = 0.0005, it is also seen from the tables, the numerical solutions converge to exact solutions for the larger element numbers.en_US
dc.identifier.doi10.2298/TSCI170613268A
dc.identifier.endpageS32en_US
dc.identifier.issn0354-9836
dc.identifier.issn2334-7163
dc.identifier.scopus2-s2.0-85046878672en_US
dc.identifier.scopusqualityQ3en_US
dc.identifier.startpageS25en_US
dc.identifier.urihttps://doi.org/10.2298/TSCI170613268A
dc.identifier.urihttps://hdl.handle.net/11616/98286
dc.identifier.volume22en_US
dc.identifier.wosWOS:000431094700005en_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.subjectvariable space grid methoden_US
dc.subjectboundary immobilization methoden_US
dc.subjectcollocation finite element methoden_US
dc.subjectcubic B-spline basis functionsen_US
dc.titleAN APPLICATION OF FINITE ELEMENT METHOD FOR A MOVING BOUNDARY PROBLEMen_US
dc.typeArticleen_US

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