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Various methods to the thermistor problem with a bulk electrical conductivity
Author(s) -
Kutluay S.,
Bahadir A. R.,
Özdeş A.
Publication year - 1999
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/(sici)1097-0207(19990510)45:1<1::aid-nme565>3.0.co;2-0
Subject(s) - thermistor , galerkin method , finite element method , mathematics , steady state (chemistry) , mathematical analysis , electrical resistivity and conductivity , conductivity , mechanics , thermodynamics , physics , engineering , electrical engineering , chemistry , quantum mechanics
In this paper, Explicit Finite Difference (EFD), Galerkin Finite Element (GFE) and Heat‐Balance Integral (HBI) methods are applied to the one‐dimensional thermistor problem with a bulk electrical conductivity to obtain its steady‐state solutions. It is shown that EFD, GFE and HBI solutions exhibit the correct physical characteristic of the problem, and they are in very good agreement with the exact solution. The only marked difference is time to attain steady states. Copyright © 1999 John Wiley & Sons, Ltd.