Convergence Order of a Finite Volume Scheme for the Time-Fractional Diffusion Equation

Conference paper
First Online:
Part of the Lecture Notes in Computer Science book series (LNCS, volume 10187)

Abstract

We consider the numerical approximation using the discrete gradient developed recently in the SUSHI method of [4] to approximate the time fractional diffusion equation in any space dimension. We derive and prove an error estimate in \(\mathbb {L}^\infty (\mathbb {L}^2)\)-norm.

Keywords

Time fractional diffusion equation Non-conforming grid SUSHI scheme Implicit scheme Discrete gradient 
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Copyright information

© Springer International Publishing AG 2017

Authors and Affiliations

  1. 1.Department of Mathematics, Faculty of SciencesUniversity of Badji Mokhtar-AnnabaAnnabaAlgeria
  2. 2.Weierstrass Institute for Applied Analysis and StochasticsBerlinGermany

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