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

  • Abdallah BradjiEmail author
  • Jürgen Fuhrmann
Conference paper
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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