Skip to main content
SpringerLink
Log in

Solution method for the inverse boundary-value problem for the wave equation

  • II. Methods for Solving Inverse Problems
  • Published:
Computational Mathematics and Modeling Aims and scope Submit manuscript

Abstract

Existence and uniqueness issues are considered for the inverse boundary-value problem of determining the variable coefficient of the one-dimensional wave equation on a half-line. A Tikhonov-regularizing algorithm is constructed to find an approximate solution using input data that are specified with an error.

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. A. V. Baev, "On the solution of the inverse problem for the wave equation using a regularizing algorithm,"Dokl. Akad. Nauk SSSR 273, No. 3, 585–587 (1983).

    Google Scholar 

  2. A. N. Tikhonov, "On regularization of ill-posed problems,"Dokl. Akad. Nauk SSSR 153, No. 1, 49–52 (1963).

    Google Scholar 

  3. M. G. Krein, "A method of effective solution of the inverse boundary-value problem,"Dokl. Akad. Nauk SSSR 94, No. 6, 13–16 (1954).

    Google Scholar 

  4. A. S. Blagoveshchenskii, "On a local solution method for the nonstationary inverse problem of an inhomogeneous string,"Tr. Mat. Inst. Akad. Nauk SSSR 115, 28–38 (1971).

    Google Scholar 

  5. A. S. Alekseev, V. I. Dobrinskii, Yu. P. Neprichinov, and G. A. Semenov, "On application of the theory of inverse dynamic problems of seismology,"Dokl. Akad. Nauk SSSR 228, No. 5, 1053–1056 (1976).

    Google Scholar 

Download references

Authors
  1. A. V. Baev
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Translated from Metody Matematicheskogo Modelirovaniya, Avtomatizatsiya Obrabotki Nablyudenii i Ikh Primeneniya, pp. 80–88, 1986.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Baev, A.V. Solution method for the inverse boundary-value problem for the wave equation. Comput Math Model 1, 180–185 (1990). https://doi.org/10.1007/BF01129061

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01129061

Keywords

Search

Navigation