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Title: Galerkin spectral method for the fractional nonlocal thermistor problem
Author: Sidi Ammi, M. R.
Torres, D. F. M.
Keywords: Error analysis
Finite difference method
Fractional differential equations
Galerkin spectral method
Issue Date: 2017
Publisher: Elsevier
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. © 2016 Elsevier Ltd
Peer review: yes
DOI: 10.1016/j.camwa.2016.05.033
ISSN: 0898-1221
Appears in Collections:CIDMA - Artigos
SCG - Artigos

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