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A block-by-block strategy for fractional systems of nonlinear weakly singular integro-differential equations

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Abstract

This paper concentrates on providing a new approach to arrive at approximate solution of a fractional nonlinear system of weakly singular integro-differential equations. This approach has the ability to calculate several undetermined values of the problem at several grid points out of considering the starting values. The convergence of the adopted approach is investigated and it is shown that the new strategy has a high order of convergence. Some examples are considered to observe the accuracy of the established scheme.

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Authors and Affiliations

  1. Faculty of Mathematics, Shahid Bahonar University of Kerman, Kerman, Iran

    F. Afiatdoust & M. M. Hosseini

  2. Department of Mathematics, Shiraz University of Technology, Shiraz, Iran

    M. H. Heydari

Authors
  1. F. Afiatdoust
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  2. M. H. Heydari
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  3. M. M. Hosseini
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Correspondence to M. H. Heydari.

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Communicated by Vasily E. Tarasov.

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Afiatdoust, F., Heydari, M.H. & Hosseini, M.M. A block-by-block strategy for fractional systems of nonlinear weakly singular integro-differential equations. Comp. Appl. Math. 42, 252 (2023). https://doi.org/10.1007/s40314-023-02380-0

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  • DOI: https://doi.org/10.1007/s40314-023-02380-0

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