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Numerical solutions of the thermistor problem with a ramp electrical conductivity. (English) Zbl 1072.78523
Summary: This paper presents approximate steady-state solutions of a positive temperature coefficient thermistor problem, having a ramp electrical conductivity that is a highly nonlinear function of the temperature, using a standard explicit finite-difference method. It is shown that numerical solutions exhibit the correct physical characteristics of the problem and, they are in good agreement with the exact solution.

78M20 Finite difference methods applied to problems in optics and electromagnetic theory
80A20 Heat and mass transfer, heat flow (MSC2010)
65M06 Finite difference methods for initial value and initial-boundary value problems involving PDEs
Full Text: DOI
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