Skip to main content
SpringerLink
Log in

Solution of an Integral Equation of the First Kind with a Logarithmic Kernel

  • II. NUMERICAL METHODS
  • Published:
Computational Mathematics and Modeling Aims and scope Submit manuscript

An iterative method is proposed and investigated for the solution of an integral equation with a kernel with a logarithmic singularity in an arbitrary definition domain.

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

References

  1. V. I. Dmitriev and E. V. Zakharov, “Numerical solution of some Fredholm integral equations of the first kind,” in: Vyschisl. Metody i Programmirovanie, Izd. MGU, Moscow, 10, 49–54 (1968).

  2. V. I. Dmitriev and R. V. Sal’nikov, “Iterative method for solving integral equations of the first kind,” Prikl. Mat. Informat., No. 15, 5–10 (2003); English translation: Comput. Math. Model., 15, No. 4, 315–319 (2004).

Download references

Author information

Authors and Affiliations

  1. Faculty of Computational Mathematics and Cybernetics, Moscow State University, Moscow, Russia

    V. I. Dmitriev, I. V. Dmitrieva & N. A. Osokin

Authors
  1. V. I. Dmitriev
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. I. V. Dmitrieva
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. N. A. Osokin
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to V. I. Dmitriev.

Additional information

Translated from Prikladnaya Matematika i Informatika, No. 56, 2017, pp. 61–71.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Dmitriev, V.I., Dmitrieva, I.V. & Osokin, N.A. Solution of an Integral Equation of the First Kind with a Logarithmic Kernel. Comput Math Model 29, 307–318 (2018). https://doi.org/10.1007/s10598-018-9411-8

Download citation

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10598-018-9411-8

Keywords

Search

Navigation