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

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Numerical Analysis and Its Applications (NAA 2016)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 10187))

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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.

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References

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Sciences, University of Badji Mokhtar-Annaba, Annaba, Algeria

    Abdallah Bradji

  2. Weierstrass Institute for Applied Analysis and Stochastics, Mohrenstr. 39, 10117, Berlin, Germany

    Jürgen Fuhrmann

Authors
  1. Abdallah Bradji
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  2. Jürgen Fuhrmann
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Corresponding author

Correspondence to Abdallah Bradji .

Editor information

Editors and Affiliations

  1. Institute of Information and Communication Technologies, Bulgarian Academy of Sciences, Sofia, Bulgaria

    Ivan Dimov

  2. Department of Applied Analysis, Eötvös Loránd University, Budapest, Hungary

    István Faragó

  3. Department of Applied Mathematics and Statistics, University of Rousse, Ruse, Bulgaria

    Lubin Vulkov

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Bradji, A., Fuhrmann, J. (2017). Convergence Order of a Finite Volume Scheme for the Time-Fractional Diffusion Equation. In: Dimov, I., Faragó, I., Vulkov, L. (eds) Numerical Analysis and Its Applications. NAA 2016. Lecture Notes in Computer Science(), vol 10187. Springer, Cham. https://doi.org/10.1007/978-3-319-57099-0_4

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  • DOI: https://doi.org/10.1007/978-3-319-57099-0_4

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-57098-3

  • Online ISBN: 978-3-319-57099-0

  • eBook Packages: Computer ScienceComputer Science (R0)

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