Numerical solution of the thermistor problem

Catal S.

APPLIED MATHEMATICS AND COMPUTATION, cilt.152, sa.3, ss.743-757, 2004 (SCI-Expanded, Scopus) identifier identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 152 Sayı: 3
  • Basım Tarihi: 2004
  • Doi Numarası: 10.1016/s0096-3003(03)00592-7
  • Dergi Adı: APPLIED MATHEMATICS AND COMPUTATION
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.743-757
  • Anahtar Kelimeler: moving boundary, thermistor problem, constrained integral and approximate method
  • Dokuz Eylül Üniversitesi Adresli: Evet

Özet

In this paper, we consider the numerical solution of a one-dimensional thermistor (thermo-electric) problem with a bulk electrical conductivity, which is an inherently non-linear function of the temperature. The aims of this paper are to present approximate steady-state solutions to the thermistor problem using second order central difference, weighted approximation methods (SOCDWAMs) and constrained integral methods (CIMs). and make their comparison with the exact solution. So, first of all we apply the CIM to each of the cold, warm, and hot phases to obtain approximate temperature distributions. And then, the CIM is constructed by assuming a quadratic polynomial approximation for the temperature profile. A variety of SOCDWAMs are applied to solve the problem using a bulk electrical conductivity to be satisfied the physical phenomena of the problem. Both methods are in very good agreement with the exact solutions. (C) 2003 Elsevier Inc. All rights reserved.