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Error analysis of a FVEM for fractional order evolution equations with nonsmooth initial data

Error analysis of a FVEM for fractional order evolution equations with nonsmooth initial data

In this paper, a finite volume element (FVE) method is considered for spatial approximations of time fractional diffusion equations involving a Riemann-Liouville fractional derivative of order α ∈ (0, 1) in time. Improving upon earlier results [Karaa et al. , IMA J. Numer. Anal. 37 (2017) 945–964], error estimates in …