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Numerical Solutions of Fractional Differential Equations by Extrapolation

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Finite Difference Methods,Theory and Applications (FDM 2014)

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Abstract

An extrapolation algorithm is considered for solving linear fractional differential equations in this paper, which is based on the direct discretization of the fractional differential operator. Numerical results show that the approximate solutions of this numerical method has the expected asymptotic expansions.

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Acknowledgements

We wish to express our sincere gratitude to Professor Neville. J. Ford for his encouragement, discussions and valuable criticism during the research of this work.

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Authors and Affiliations

  1. Department of Mathematics, University of Chester, Thornton Science Park, Chester, CH2 4NU, UK

    Kamal Pal & Yubin Yan

  2. Department of Mathematics, Lvliang University, Lishi, People’s Republic of China

    Fang Liu

Authors
  1. Kamal Pal
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  2. Fang Liu
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  3. Yubin Yan
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Corresponding author

Correspondence to Yubin Yan .

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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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Pal, K., Liu, F., Yan, Y. (2015). Numerical Solutions of Fractional Differential Equations by Extrapolation. 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_32

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  • DOI: https://doi.org/10.1007/978-3-319-20239-6_32

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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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