Convergence in Positive Time for a Finite Difference Method Applied to a Fractional Convection-Diffusion Problem

A standard finite difference method on a uniform mesh is used to solve a time-fractional convection-diffusion initial-boundary value problem. Such problems typically exhibit a mild singularity at the initial time . It is proved that the rate of convergence of the maximum nodal error on any subdomain...

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Veröffentlicht in:	Journal of computational methods in applied mathematics Jg. 18; H. 1; S. 33 - 42
Hauptverfasser:	Gracia, José Luis, O’Riordan, Eugene, Stynes, Martin
Format:	Journal Article
Sprache:	Englisch
Veröffentlicht:	Minsk De Gruyter 01.01.2018 Walter de Gruyter GmbH
Schlagworte:	65M06 65M12 65M15 Boundary value problems Caputo Fractional Derivative Convection-diffusion equation Convergence Error analysis Finite difference method Initial Boundary Value Problem L1 Scheme Mathematical analysis Weak Singularity
ISSN:	1609-4840, 1609-9389
Online-Zugang:	Volltext
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