Steady‐state solution of the PTC thermistor problem using aquadratic spline finite element method
Author(s) -
Ahmet Refik Bahadir
Publication year - 2002
Publication title -
mathematical problems in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.262
H-Index - 62
eISSN - 1026-7077
pISSN - 1024-123X
DOI - 10.1080/10241230212911
Subject(s) - thermistor , finite element method , galerkin method , mathematics , mathematical analysis , ordinary differential equation , quadratic equation , mixed finite element method , differential equation , geometry , physics , engineering , thermodynamics , electrical engineering
The problem of heat transfer in a Positive Temperature Coefficient (PTC) thermistor, which may form one element of an electric circuit, is solved numerically by a finite element method. The approach used is based on Galerkin finite element using quadratic splines as shape functions. The resulting system of ordinary differential equations is solved by the finite difference method. Comparison is made with numerical and analytical solutions and the accuracy of the computed solutions indicates that the method is well suited for the solution of the PTC thermistor problem
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