Finite Difference Method for the Time-Fractional Thermistor Problem
نویسنده
چکیده
In this paper we propose a finite difference scheme for temporal discretization of the time-fractional thermistor problem, which is obtained from the so-called thermistor problem by replacing the first-order time derivative with a fractional derivative of order α (0 ≤ α ≤ 1). An existence result is established for the semidiscrete problem. Stability and error analysis are then provided, showing that the temporal accuracy is of order 2− α. AMS Subject Classifications: 34A08, 34A12, 34D20, 65L12.
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تاریخ انتشار 2013