Error Analysis of the Semi-Discretized Doubly Nonlinear Non- Local Thermistor Problem


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Authors: I. DAHI AND M. R. S. AMMI

DOI: 10.46793/KgJMat2610.1641D

Abstract:

In this paper, we study a doubly nonlinear parabolic equation obtained from the reduction of the wellknown nonlocal thermistor problem. Therefore, we focus our study on proving the existence of the solution to the semi-discrete problem. We also establish the stability and error estimates for a family of time discretization schemes. We investigate a time discretization of the continuous problem by the backward Euler scheme.



Keywords:

Existence, nonlinear parabolic equation, nonlocal, semi-discretization, Thermistor problem, backward Euler method.



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