Skip to main content
SpringerLink
Log in

Numerical methods of solving nonlinear integral equations of volterra type

  • Published:
Journal of Mathematical Sciences Aims and scope Submit manuscript

Abstract

Applying continued fractions. we propose numerical methods of solving nonlinear Volterra integral equations of second kind.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

Literature Cited

  1. B. A. Bel'tyukov, “An analog of the Runge-Kutta method for solving nonlinear Volterra integral equations,”Differents. Uravn.,1, No. 4, 545–556 (1965).

    MATH  Google Scholar 

  2. A. F. Verlan' and V. S. Sizikov,Integral Equations: Methods, Algorithms, Programs [in Russian], Naukova Dumka, Kiev (1986).

    Google Scholar 

  3. A. N. Lomakovich and V. A. Ishchuk, “On approximate solution of a nonlinear integral equation of Volterra type by a two-sided method of Runge-Kutta-Felberg type,”Vychisl. Prikl. Mat., No. 23, 29–40 (1974).

    MATH  Google Scholar 

  4. V. Ya. Skorobogat'ko,Theory of Branched Continued Fractions and its Applications in Computational Mathematics [in Russian], Nauka, Moscow (19830.

    Google Scholar 

  5. C. T. H. Baker,The Numerical Treatment of Integral Equations, Clarendon Press, Oxford (1977).

    Google Scholar 

Download references

Authors
  1. Ya. M. Pelekh
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Translated fromMatematichni Metodi ta Fiziko-Mekhanichni Polya, Vol. 39, No. 2, 1996, pp. 127–132

Rights and permissions

Reprints and permissions

About this article

Cite this article

Pelekh, Y.M. Numerical methods of solving nonlinear integral equations of volterra type. J Math Sci 90, 2431–2435 (1998). https://doi.org/10.1007/BF02433979

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02433979

Keywords

Search

Navigation