Numerical solutions of the thermistor equations

This paper examines heat conduction in a thermistor used as a current surge regulator. The problem consists of coupled nonlinear, nonlocal parabolic initial boundary value problems. Simplifying assumptions are made which lead to two different problems each of which consists of a one (space) dimensional nonlocal parabolic initial boundary value problem. cal methods for the approximate solutions of both the steady state and the transient problems are described and the results of the numerical experiments are presented.