Galerkin spectral method for the fractional nonlocal thermistor problem

Galerkin spectral method for the fractional nonlocal thermistor problem

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 enou...

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Veröffentlicht in:Computers & mathematics with applications (1987) 2017-03, Vol.73 (6), p.1077-1086
Hauptverfasser: Sidi Ammi, Moulay Rchid, Torres, Delfim F.M.
Format: Artikel
Sprache:eng
Schlagworte:
Convergence
Differentiation
Error analysis
Finite difference method
Fractional differential equations
Galerkin method
Galerkin spectral method
Numerical analysis
Stability
Studies
Thermistors
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Beschreibung
Zusammenfassung: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.
ISSN:0898-1221
1873-7668
DOI:10.1016/j.camwa.2016.05.033