This article is cited in 21 papers

On the convergence of numerical methods for solving a Volterra bilinear equations of the first kind

A. S. Apartsyn

Institute of Power Engineering, Melent'ev Energy System Institute, Siberian Branch, Russian Academy of Sciences, ul. Lermontova 130, Irkutsk, 664033, Russia

Abstract: A justification is given for the convergence of quadratures (namely, the right rectangle and midpoint rules) for the numerical solution of a Volterra bilinear equation of the first kind. Numerical results for some benchmark problems are presented.

Key words: Volterra bilinear integral equation of the first kind, right rectangle rule, midpoint rule, convergence, Lambert function, self-regularization.

UDC: 519.642.5

Received: 02.02.2007

 English version: Computational Mathematics and Mathematical Physics, 2007, 47:8, 1323–1331

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