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

Kutluay S., Esen A.

APPLIED MATHEMATICS AND COMPUTATION, cilt.156, sa.3, ss.621-632, 2004 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 156 Sayı: 3
  • Basım Tarihi: 2004
  • Doi Numarası: 10.1016/j.amc.2003.08.014
  • Dergi Adı: APPLIED MATHEMATICS AND COMPUTATION
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.621-632
  • İnönü Üniversitesi Adresli: Evet

Özet

In 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.