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Finite volume element method for two-dimensional fractional subdiffusion problems

Finite volume element method for two-dimensional fractional subdiffusion problems

In this article, a semidiscrete spatial finite volume (FV) method is proposed and analyzed for approximating solutions of anomalous subdiffusion equations involving a temporal fractional derivative of order α∈(0,1) in a two-dimensional convex domain. An optimal error estimate in the L∞(L2)-norm is shown to hold. A superconvergence result is proved, …