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A numerical method for solving Volterra integral equations of the third kind by multistep collocation method

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Abstract

In this paper a multistep collocation method for solving Volterra integral equations of the third kind is explained and analyzed. The structure of the method, its solvability and convergence analysis are investigated. Moreover to show the applicability of the presented method and to confirm our theoretical results some numerical examples are given.

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Authors and Affiliations

  1. Applied Mathematics Group, Faculty of Mathematics, Yazd University, Yazd, Iran

    F. Shayanfard & F. M. Maalek Ghaini

  2. Department of Mathematics, Farhangian University, Tehran, Iran

    H. Laeli Dastjerdi

Authors
  1. F. Shayanfard
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  2. H. Laeli Dastjerdi
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  3. F. M. Maalek Ghaini
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Correspondence to H. Laeli Dastjerdi.

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Communicated by Hui Liang.

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Shayanfard, F., Dastjerdi, H.L. & Ghaini, F.M.M. A numerical method for solving Volterra integral equations of the third kind by multistep collocation method. Comp. Appl. Math. 38, 174 (2019). https://doi.org/10.1007/s40314-019-0947-9

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  • DOI: https://doi.org/10.1007/s40314-019-0947-9

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