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.
Keywords
- Fractional Differential Equations
- Approximate Solution
- Direct Discretization
- Asymptotic Expansion
- Extrapolation Algorithm
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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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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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