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A 2nd-Order Numerical Scheme for Fractional Ordinary Differential Equation Systems

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Finite Difference Methods. Theory and Applications (FDM 2018)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 11386))

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Abstract

We propose a new numerical method for fractional ordinary differential equation systems based on a judiciously chosen quadrature point. The proposed method is efficient and easy to implement. We show that the convergence order of the method is 2. Numerical results are presented to demonstrate that the computed rates of convergence confirm our theoretical findings.

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Acknowledgment

This work is partially supported by US Air Force Office of Scientific Research Project FA2386-15-1-4095.

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Authors and Affiliations

  1. Department of Mathematics and Statistics, Curtin University, GPO Box U1987, Perth, 6845, Australia

    W. Li & S. Wang

Authors
  1. W. Li
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  2. S. Wang
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Corresponding author

Correspondence to S. Wang .

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Editors and Affiliations

  1. IICT, Bulgarian Academy of Sciences, Sofia, Bulgaria

    Ivan Dimov

  2. Eötvös Loránd University, Budapest, Hungary

    István Faragó

  3. University of Rousse, Rousse, Bulgaria

    Lubin Vulkov

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Li, W., Wang, S. (2019). A 2nd-Order Numerical Scheme for Fractional Ordinary Differential Equation Systems. In: Dimov, I., Faragó, I., Vulkov, L. (eds) Finite Difference Methods. Theory and Applications. FDM 2018. Lecture Notes in Computer Science(), vol 11386. Springer, Cham. https://doi.org/10.1007/978-3-030-11539-5_6

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  • DOI: https://doi.org/10.1007/978-3-030-11539-5_6

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-11538-8

  • Online ISBN: 978-3-030-11539-5

  • eBook Packages: Computer ScienceComputer Science (R0)

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