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Galerkin spectral method for the fractional nonlocal thermistor problem
Authors
Antontsev
Bernardi
+16 more
Bhrawy
Delfim F.M. Torres
Gorenflo
Ibrahim
Kilbas
Lin
Moulay Rchid Sidi Ammi
Podlubny
Samko
Sidi Ammi
Sidi Ammi
Sidi Ammi
Sidi Ammi
Ye
Zeidler
Zhou
Publication date
25 May 2016
Publisher
'Elsevier BV'
Doi
Cite
View
on
arXiv
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 Lt
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info:doi/10.1016%2Fj.camwa.201...
Last time updated on 01/04/2019
Repositório Institucional da Universidade de Aveiro
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oai:ria.ua.pt:10773/18253
Last time updated on 18/10/2017