A B-spline finite element method for the thermistor problem with the modified electrical conductivity

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dc.authoridKutluay, Selçuk/0000-0001-9610-504X
dc.authoridEsen, Alaattin/0000-0002-7927-5941
dc.authorwosidKutluay, Selçuk/AAA-3586-2021
dc.authorwosidEsen, Alaattin/ABE-5694-2021
dc.contributor.authorKutluay, S
dc.contributor.authorEsen, A
dc.date.accessioned2024-08-04T20:30:48Z
dc.date.available2024-08-04T20:30:48Z
dc.date.issued2004
dc.departmentİnönü Üniversitesien_US
dc.description.abstractIn this paper, approximate steady-state solutions of a one-dimensional positive temperature coefficient thermistor problem with a modified step function electrical conductivity are obtained by using the Galerkin cubic B-spline finite element method. It is shown that the computational results obtained by the method display the correct physical characteristics of the problem, and they are found to be in very good agreement with the exact solution. It is also shown that the numerical solution exhibits the expected convergence to the exact one as the mesh size is refined. Further a Fourier stability analysis of the method is investigated. (C) 2003 Elsevier Inc. All rights reserved.en_US
dc.identifier.doi10.1016/j.amc.2003.08.014
dc.identifier.endpage632en_US
dc.identifier.issn0096-3003
dc.identifier.issn1873-5649
dc.identifier.issue3en_US
dc.identifier.scopus2-s2.0-4344564073en_US
dc.identifier.scopusqualityQ1en_US
dc.identifier.startpage621en_US
dc.identifier.urihttps://doi.org/10.1016/j.amc.2003.08.014
dc.identifier.urihttps://hdl.handle.net/11616/94531
dc.identifier.volume156en_US
dc.identifier.wosWOS:000224184500004en_US
dc.identifier.wosqualityQ3en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherElsevier Science Incen_US
dc.relation.ispartofApplied Mathematics and Computationen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectthermistor problemen_US
dc.subjectmodified electrical conductivityen_US
dc.subjectGalerkin finite elementen_US
dc.subjectcubic B-spline functionsen_US
dc.titleA B-spline finite element method for the thermistor problem with the modified electrical conductivityen_US
dc.typeArticleen_US

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