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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.

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
Full Text: DOI
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