$A new analysis for the convergence of the gradient discretization method for multidimensional time fractional diffusion and diffusion-wave equations$

A new analysis for the convergence of the gradient discretization method for multidimensional time fractional diffusion and diffusion-wave equations

We consider as discretization in space, the GDM (Gradient Discretization Method) developed recently in Droniou et al. (2018), to approximate multidimensional time fractional diffusion and diffusion-wave equations where the fractional order α of the time derivative is respectively satisfying 0

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Veröffentlicht in:	Computers & mathematics with applications (1987) 2020-01, Vol.79 (2), p.500-520
1. Verfasser:	Bradji, Abdallah
Format:	Artikel
Sprache:	eng
Schlagworte:	Convergence Diffusion Discrete well-posedness Discretization Estimates Exact solutions Finite volume method Galerkin method GDM Implicit schemes Multi-term time-fractional diffusion and diffusion-wave equations Norms Thermodynamics Time fractional diffusion equation Time fractional diffusion-wave equation Wave equations Well posed problems
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Beschreibung
Zusammenfassung:	We consider as discretization in space, the GDM (Gradient Discretization Method) developed recently in Droniou et al. (2018), to approximate multidimensional time fractional diffusion and diffusion-wave equations where the fractional order α of the time derivative is respectively satisfying 0
ISSN:	0898-1221 1873-7668
DOI:	10.1016/j.camwa.2019.11.001