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

  • F. Shayanfard
  • H. Laeli DastjerdiEmail author
  • F. M. Maalek Ghaini
Article

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.

Keywords

Volterra integral equations of the third kind Collocation method Multistep collocation method 

Mathematics Subject Classification

45A05 45D05 45E99 

Notes

References

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Copyright information

© SBMAC - Sociedade Brasileira de Matemática Aplicada e Computacional 2019

Authors and Affiliations

  • F. Shayanfard
    • 1
  • H. Laeli Dastjerdi
    • 2
    Email author
  • F. M. Maalek Ghaini
    • 1
  1. 1.Applied Mathematics Group, Faculty of MathematicsYazd UniversityYazdIran
  2. 2.Department of MathematicsFarhangian UniversityTehranIran

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