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Numerical Solution of Volterra Linear Integral Equation of the Third Kind

  • Taalaybek KarakeevEmail author
  • Dinara Rustamova
  • Zhumgalbubu Bugubayeva
Conference paper
Part of the Advances in Intelligent Systems and Computing book series (AISC, volume 423)

Abstract

In this work we consider Volterra linear integral equation of the third kind in the case when the external known function reduces to zero in the internal point of integration interval. The solution of it exists in the space of continuous functions. The numerical solution is constructed and its convergence to the solution of the initial equation is proved.

Keywords

Volterra integral equation Numerical solution Fixed point iteration 

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Copyright information

© Springer International Publishing Switzerland 2016

Authors and Affiliations

  • Taalaybek Karakeev
    • 1
    Email author
  • Dinara Rustamova
    • 1
  • Zhumgalbubu Bugubayeva
    • 1
  1. 1.Zh. Balasagyn Kyrgyz National UniversityBishkekKyrgyzstan

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