STABILITY ANALYSIS OF REDUCIBLE QUADRATURE METHODS FOR VOLTERRA INTEGRAL EQUATIONS OF THE FIRST KIND.

V. L. Bakke, Z. Jackiewicz

Research output: Contribution to journalArticlepeer-review

2 Scopus citations

Abstract

Stability analysis of reducible quadrature methods for Volterra integral equations of the first kind based on the test equation integral (1 plus mu t plus upsilon s)y(s)ds equals t, t greater than equivalent to 0, where the limits of integration are 0 and t and mu plus upsilon greater than equivalent to 0, is presented. The solution Y of this equation is bounded in some region in ( mu , upsilon )-space, and we investigate whether this property is inherited by the numerical solution approximating Y.

Original languageEnglish (US)
Pages (from-to)243-249
Number of pages7
JournalJournal of integral equations
Volume9
Issue number3
StatePublished - Nov 1 1985
Externally publishedYes

ASJC Scopus subject areas

  • General Engineering

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