Skip to main content
SpringerLink
Log in

Matrix method for solving the Sturm-Liouville problem

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

Abstract

We consider the application of the matrix method to constructing an approximate solution of the regular Sturm-Liouville problem with conditions of first, second, third, and mixed types. All these cases are reduced to a homogeneous algebraic system and its characteristic equation. A numerical example is given.

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. F. Kalaida and V. A. Chirikalov, Hermite-Type Matrix Algorithms for Numerical Differentiation and Their Application to One-Dimensional Differential Problems [in Russian], Kiev (1979). Unpublished manuscript, UkrNIINTI No. 1494-79 DR.

  2. I. N. Lyashenko, Eigenvalue Problems for Second-Order Partial Finite-Difference Equations [in Russian], Izd. Kiev. Univ., Kiev (1970).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Aktyubinsk Teachers' College and Kiev University, Kiev

    B. Izbasarov & A. F. Kalaida

Authors
  1. B. Izbasarov
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. A. F. Kalaida
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Translated from Vychislitel'naya i Prikladnaya Matematika, No. 56, pp. 43–49, 1985

Rights and permissions

Reprints and permissions

About this article

Cite this article

Izbasarov, B., Kalaida, A.F. Matrix method for solving the Sturm-Liouville problem. J Math Sci 54, 786–792 (1991). https://doi.org/10.1007/BF01097588

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01097588

Keywords

Search

Navigation