Numerical solutions of the thermistor problem by spline finite elements
Küçük Resim Yok
Tarih
2005
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Elsevier Science Inc
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
This 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.
Açıklama
Anahtar Kelimeler
thermistor, step electrical conductivity, subdomain collocation, Petrov-Galerkin
Kaynak
Applied Mathematics and Computation
WoS Q Değeri
Q2
Scopus Q Değeri
N/A
Cilt
162
Sayı
1
