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Intelligent Systems for Computer Modelling pp 111–119Cite as

Numerical Solution of Volterra Linear Integral Equation of the Third Kind

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Part of the book series: Advances in Intelligent Systems and Computing ((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.

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References

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Authors and Affiliations

  1. Zh. Balasagyn Kyrgyz National University, Bishkek, Kyrgyzstan

    Taalaybek Karakeev, Dinara Rustamova & Zhumgalbubu Bugubayeva

Authors
  1. Taalaybek Karakeev
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  2. Dinara Rustamova
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  3. Zhumgalbubu Bugubayeva
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Corresponding author

Correspondence to Taalaybek Karakeev .

Editor information

Editors and Affiliations

  1. Faculty of Electrical Eng. and Comp., VŠB-Technical University of Ostrava, Ostrava, Czech Republic

    Vítězslav Stýskala

  2. Department of Electrical Engineering, VŠB – Technical University of Ostrava, Ostrava, Czech Republic

    Dmitrii Kolosov

  3. Faculty of Electrical Engineering and, Technical University of Ostrava, Ostrava-Poruba, Czech Republic

    Václav Snášel

  4. after Jusup Balasagyn, Kyrgyz National University named, Bishkek, Kyrgyzstan

    Taalaybek Karakeyev

  5. Sci N/w for Innova and Research Exc, Machine Intelligence Research Labs, Washington, USA

    Ajith Abraham

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Karakeev, T., Rustamova, D., Bugubayeva, Z. (2016). Numerical Solution of Volterra Linear Integral Equation of the Third Kind. In: Stýskala, V., Kolosov, D., Snášel, V., Karakeyev, T., Abraham, A. (eds) Intelligent Systems for Computer Modelling . Advances in Intelligent Systems and Computing, vol 423. Springer, Cham. https://doi.org/10.1007/978-3-319-27644-1_11

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  • DOI: https://doi.org/10.1007/978-3-319-27644-1_11

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-27642-7

  • Online ISBN: 978-3-319-27644-1

  • eBook Packages: EngineeringEngineering (R0)

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