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A variety of finite difference methods to the thermistor with a new modified electrical conductivity. (English) Zbl 1049.80501
Summary: We consider the numerical solution of a one-dimensional thermistor (thermo-electric) problem with a new modified step function electrical conductivity which is an inherently non-linear function of the temperature. A variety of finite difference methods are applied to solve the problem using a new modification of the step function electrical conductivity to be satisfied the physical phenomena of the problem.

MSC:
80A20 Heat and mass transfer, heat flow (MSC2010)
65M06 Finite difference methods for initial value and initial-boundary value problems involving PDEs
80M20 Finite difference methods applied to problems in thermodynamics and heat transfer
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