Skip to main content
SpringerLink
Log in

Aggregate-Iterative Methods for the Approximation of Solutions of Boundary-Value Problems

  • Published:
Ukrainian Mathematical Journal Aims and scope

Abstract

We construct a special aggregate-iterative algorithm (a two-parameter method) for the iterative integration of a differential equation with two-point boundary conditions. We establish conditions for the convergence of this method and present partial cases of the two-parameter aggregate-iterative algorithm.

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. M. A. Krasnosel'skii, E. A. Lifshits, and A. V. Sobolev, Positive Linear Systems [in Russian], Nauka, Moscow (1985).

    Google Scholar 

  2. L. M. Dudkin, System for Calculation of Optimal Economic Plan [in Russian], Ékonomika, Moscow (1972).

    Google Scholar 

  3. L. M. Dudkin (editor), Iterative Aggregation and Its Application in Planning [in Russian], Ékonomika, Moscow (1979).

    Google Scholar 

  4. B. A. Shuvar, On the Convergence of a One-Parameter Method of Iterative Aggregation for Systems of Linear Algebraic Equations [in Russian], Dep. in UkrIINTI, No. 1473-Uk 88, Lviv (1988).

  5. B. A. Shuvar, Generalization of the Method of Iterative Aggregation [in Russian], Dep. in UkrIINTI, No. 43-Uk 92, Lviv (1992).

Download references

Author information

Authors and Affiliations

  1. Carpathian University, Ivano-Frankivs'k

    L. P. Kostyshyn

  2. “L'vivs'ka Politekhnika” National University, Lviv

    B. A. Shuvar

Authors
  1. L. P. Kostyshyn
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. B. A. Shuvar
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Kostyshyn, L.P., Shuvar, B.A. Aggregate-Iterative Methods for the Approximation of Solutions of Boundary-Value Problems. Ukrainian Mathematical Journal 55, 1716–1723 (2003). https://doi.org/10.1023/B:UKMA.0000022076.39572.43

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/B:UKMA.0000022076.39572.43

Keywords

Search

Navigation