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An expeditious wavelet-based numerical scheme for solving fractional differential equations

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Abstract

In this article, a numerical scheme based on Euler wavelets for solving fractional differential equations is proposed. An Euler wavelet operational matrix of fractional integration is derived and employed to reduce fractional differential equations into simultaneous algebraic equations. Some examples are given to illustrate the applicability and the high accuracy of the proposed numerical scheme.

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Acknowledgements

The authors are grateful to the anonymous reviewers for several comments and suggestions which contributed to the improvement of this paper.

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Authors and Affiliations

  1. Department of Mathematics, Government Arts College(Autonomous), Kumbakonam (Affiliated to Bharathidasan University), Tiruchirapalli, Tamil Nadu, India

    R. Aruldoss & R. Anusuya Devi

  2. Department of Mathematics, Amrita Vishwa Vidhyapeetham, Coimbatore, India

    P. Murali Krishna

Authors
  1. R. Aruldoss
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  2. R. Anusuya Devi
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  3. P. Murali Krishna
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Correspondence to R. Anusuya Devi.

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Communicated by José Tenreiro Machado.

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Aruldoss, R., Devi, R.A. & Krishna, P.M. An expeditious wavelet-based numerical scheme for solving fractional differential equations. Comp. Appl. Math. 40, 2 (2021). https://doi.org/10.1007/s40314-020-01387-1

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