Kutluay, SEsen, A2024-08-042024-08-0420050096-3003https://doi.org/10.1016/j.amc.2004.01.024https://hdl.handle.net/11616/93797In this paper, subdomain collocation (SC) and Petrov-Galerkin (PG) methods based on spline finite elements have been applied to the one-dimensional positive temperature coefficient (PTC) thermistor problem with a temperature dependent ramp function electrical conductivity to obtain the predicted temperature distributions and the locations of the free boundaries in the steady-state case. The numerical results obtained by the present methods have been compared with the exact solution and also those obtained by earlier authors. A Fourier stability analysis of each method is investigated. (C) 2004 Elsevier Inc. All rights reserved.eninfo:eu-repo/semantics/closedAccessPTC thermistorramp electrical conductivitysubdomain collocationPetrov-galerkinB-spline functionsArticle163114716210.1016/j.amc.2004.01.0242-s2.0-12444281111N/AWOS:000227044000014Q2