A Collocation Finite Element Solution for Stefan Problems with Periodic Boundary Conditions

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dc.authoridUÇAR, Yusuf/0000-0003-1469-5002
dc.authoridkarabenli, hatice/0000-0003-2201-836X
dc.authorwosidAksan, Emine Nesligül/AAA-4222-2021
dc.authorwosidUÇAR, Yusuf/ABG-8562-2020
dc.contributor.authorKarabenli, Hatice
dc.contributor.authorUcar, Yusuf
dc.contributor.authorAksan, E. Nesligul
dc.date.accessioned2024-08-04T20:41:45Z
dc.date.available2024-08-04T20:41:45Z
dc.date.issued2016
dc.departmentİnönü Üniversitesien_US
dc.description2nd International Conference on Recent Advances in Pure and Applied Mathematics (ICRAPAM) -- JUN 03-06, 2015 -- Istanbul Commerce Univ, Fac Arts & Sci, Istanbul, TURKEYen_US
dc.description.abstractIn this study, we are going to obtain some numerical solutions of Stefan problems given together with time-dependent periodic boundary conditions. After using variable space grid method, we have presented a numerical finite element scheme based on collocation finite element method formed with cubic B-splines. The newly obtained numerical results are presented for temperature distribution, the position and the velocity of moving boundary. It is shown that the size of domain, oscillation amplitude and oscillation frequency which are situated at the boundary condition, strongly influence the temperature distribution and position of moving boundary. The numerical results are compared with other numerical solutions obtained by using finite difference method and they are found to be in good agreement with each other.en_US
dc.identifier.doi10.2298/FIL1603699K
dc.identifier.endpage709en_US
dc.identifier.issn0354-5180
dc.identifier.issue3en_US
dc.identifier.scopus2-s2.0-84965134409en_US
dc.identifier.scopusqualityQ3en_US
dc.identifier.startpage699en_US
dc.identifier.urihttps://doi.org/10.2298/FIL1603699K
dc.identifier.urihttps://hdl.handle.net/11616/97304
dc.identifier.volume30en_US
dc.identifier.wosWOS:000376574100021en_US
dc.identifier.wosqualityQ2en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherUniv Nis, Fac Sci Mathen_US
dc.relation.ispartofFilomaten_US
dc.relation.publicationcategoryKonferans Öğesi - Uluslararası - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectStefan problemsen_US
dc.subjectVariable space grid methodsen_US
dc.subjectcollocation finite element methodsen_US
dc.titleA Collocation Finite Element Solution for Stefan Problems with Periodic Boundary Conditionsen_US
dc.typeConference Objecten_US

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