Numerical solutions of the thermistor problem by spline finite elements

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dc.authoridEsen, Alaattin/0000-0002-7927-5941
dc.authoridKutluay, Selçuk/0000-0001-9610-504X
dc.authorwosidEsen, Alaattin/ABE-5694-2021
dc.authorwosidKutluay, Selçuk/AAA-3586-2021
dc.contributor.authorKutluay, S
dc.contributor.authorEsen, A
dc.date.accessioned2024-08-04T20:13:38Z
dc.date.available2024-08-04T20:13:38Z
dc.date.issued2005
dc.departmentİnönü Üniversitesien_US
dc.description.abstractThis paper presents approximate steady-state solutions of a one-dimensional positive temperature coefficient (PTC) thermistor problem, having a step function electrical conductivity that is a highly non-linear function of the temperature, using subdomain collocation and Petrov-Galerkin methods based on spline finite elements. The resulting system of ordinary differential equations is solved by the usual Crank-Nicolson finite difference method using a variant of Thomas algorithm. It is shown that the numerical solutions obtained by the present methods exhibit the correct physical characteristics of the problem and, they are in very good agreement with the exact solution. A Fourier stability analysis of each method is also investigated. (C) 2004 Elsevier Inc. All rights reserved.en_US
dc.identifier.doi10.1016/j.amc.2003.12.125
dc.identifier.endpage489en_US
dc.identifier.issn0096-3003
dc.identifier.issue1en_US
dc.identifier.scopus2-s2.0-10444247365en_US
dc.identifier.scopusqualityN/Aen_US
dc.identifier.startpage475en_US
dc.identifier.urihttps://doi.org/10.1016/j.amc.2003.12.125
dc.identifier.urihttps://hdl.handle.net/11616/93758
dc.identifier.volume162en_US
dc.identifier.wosWOS:000226859900039en_US
dc.identifier.wosqualityQ2en_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.subjectthermistoren_US
dc.subjectstep electrical conductivityen_US
dc.subjectsubdomain collocationen_US
dc.subjectPetrov-Galerkinen_US
dc.titleNumerical solutions of the thermistor problem by spline finite elementsen_US
dc.typeArticleen_US

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