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arXiv · 1605.07804

Galerkin Spectral Method for the Fractional Nonlocal Thermistor Problem

Moulay Rchid Sidi Ammi·Delfim F. M. Torres
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Abstract

We develop and analyse a numerical method for the time-fractional nonlocal thermistor problem. By rigorous proofs, some error estimates in different contexts are derived, showing that the combination of the backward differentiation in time and the Galerkin spectral method in space leads, for an enough smooth solution, to an approximation of exponential convergence in space.

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Moulay Rchid Sidi Ammi, Delfim F. M. Torres. 2016-05-25. Galerkin Spectral Method for the Fractional Nonlocal Thermistor Problem. https://doi.org/10.1016/j.camwa.2016.05.033

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