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Efficient Application of the Two-Grid Technique for Solving Time-Fractional Non-linear Parabolic Problem

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Finite Difference Methods,Theory and Applications (FDM 2014)

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Abstract

In this paper we present numerical methods for solving a non-linear time-fractional parabolic model. To cope with non-local in time nature of the problem, we exploit the idea of the two-grid method and develop fast numerical algorithms. Moreover, we show that suitable modifications of the standard two-grid technique lead to significant reduction of the computational time. Numerical results are also discussed.

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Acknowledgement

This research is supported by the Bulgarian National Fund of Science under the Project I02/20 - 2014.

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Authors and Affiliations

  1. FNSE, University of Rousse, 8 Studentska Str., 7017, Rousse, Bulgaria

    Miglena N. Koleva

Authors
  1. Miglena N. Koleva
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Correspondence to Miglena N. Koleva .

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Editors and Affiliations

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

    Ivan Dimov

  2. Institue of Mathematics and MTA-ELTE Numerical Analysis and Large Networks Research Group, Eötvös Loránd University, Budapest, Hungary

    István Faragó

  3. University of Rousse, Rousse, Bulgaria

    Lubin Vulkov

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Koleva, M.N. (2015). Efficient Application of the Two-Grid Technique for Solving Time-Fractional Non-linear Parabolic Problem. In: Dimov, I., Faragó, I., Vulkov, L. (eds) Finite Difference Methods,Theory and Applications. FDM 2014. Lecture Notes in Computer Science(), vol 9045. Springer, Cham. https://doi.org/10.1007/978-3-319-20239-6_27

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  • DOI: https://doi.org/10.1007/978-3-319-20239-6_27

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-20238-9

  • Online ISBN: 978-3-319-20239-6

  • eBook Packages: Computer ScienceComputer Science (R0)

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