M. V. Bulatov, M. N. Machkhina, “Features of behavior of numerical methods for solving Volterra integral equations of the second kind”, Zh. Vychisl. Mat. Mat. Fiz., 2014, Volume 54, Number 3,Pages <nobr>496

This article is cited in 1 paper

Features of behavior of numerical methods for solving Volterra integral equations of the second kind

M. V. Bulatov^ab, M. N. Machkhina^c

^a Institute of System Dynamics and Control Theory, Siberian Branch, Russian Academy of Sciences, ul. Lermontova 134, Irkutsk, 664033, Russia
^b National Research Irkutsk State Technical University
^c East Siberian State Academy of Education, Nizhnyaya nab. 6, Irkutsk, 664011, Russia

Abstract: Systems of second-kind Volterra integral equations with stiff and oscillating components are considered. An implicit noniterative method of the second order is proposed for the numerical solution of such problems. The efficiency of the method is demonstrated using several examples.

Key words: Volterra integral equations of the second kind, stiff problems, difference schemes, quadrature formulas.

UDC: 519.642.5

Received: 14.03.2013
Revised: 27.08.2013

DOI: 10.7868/S0044466914030028