We’re sorry, something doesn't seem to be working properly.

Please try refreshing the page. If that doesn't work, please contact support so we can address the problem.

Skip to main content
SpringerLink
Log in

Accuracy-enhancement scheme for the Sturm-Liouville equation

    We’re sorry, something doesn't seem to be working properly.

    Please try refreshing the page. If that doesn't work, please contact support so we can address the problem.

  • Published:
Journal of Soviet Mathematics Aims and scope Submit manuscript

Abstract

Enhanced-accuracy spline-difference schemes are constructed and analyzed for the one-dimensional Sturm-Liouville problem with piecewise-constant coefficients. Uniformmetric bounds are obtained for eigenvalues, eigenfunctions, and their derivatives. The results of numerical experiments using a test problem are reported.

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. Yu. S. Zav'yalov, B. I. Kvasov, and V. L. Miroshnichenko, Spline Function Methods [in Russian], Nauka, Moscow (1980).

    Google Scholar 

  2. I. N. Lyashchenko and K. N. Bailyev, “Determination of the eigenvalues and eigenfunctions of a selfadjoint differential operator of second order with piecewise-constant coefficients by the spline function method,” Izv. Akad. Nauk TSSR, No. 5, 24–33 (1982).

    Google Scholar 

  3. V. G. Prikazchikov, “Homogeneous difference schemes of high order accuracy for the Sturm-Liouville problem,” Zh. Vychisl. Mat. Mat. Fiz.,9, No. 2, 315–336 (1969).

    Google Scholar 

  4. A. A. Samarskii, An Introduction to the Theory of Difference Schemes [in Russian], Nauka, Moscow (1971).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Turkmen Teachers' College, Kiev University, USSR

    I. N. Lyashenko & K. I. Bailyev

Authors
  1. I. N. Lyashenko
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. K. I. Bailyev
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Translated from Vychislitel'naya i Prikladnaya Matematika, No. 61, pp. 3–8, 1987.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Lyashenko, I.N., Bailyev, K.I. Accuracy-enhancement scheme for the Sturm-Liouville equation. J Math Sci 63, 403–407 (1993). https://doi.org/10.1007/BF01849519

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01849519

Keywords

Search

Navigation