M. V. Bulatov, O. S. Budnikova, “Numerical solution of integral-algebraic equations with weakly singular kernels by <nobr>$k$</nobr>-step methods”, Bulletin of Irkutsk State University. Series Mathematics, 2015, Volume 13,Pages <nobr>3

This article is cited in 1 paper

Numerical solution of integral-algebraic equations with weakly singular kernels by $k$-step methods

M. V. Bulatov^a, O. S. Budnikova^b

^a Matrosov Institute for System Dynamics and Control Theory of Siberian Branch of Russian Academy of Sciences, 134, Lermontov st., Irkutsk, 664033
^b Irkutsk State University, 1, K. Marx st., Irkutsk, 664003

Abstract: In this paper we describe numerical methods for solution integral-algebraic equations wiht weakly singular kernels. Methods are based on explicit Adam's methods, product integration methods for the integral part and on extrapolation formulas for the main part of the equation are proposed. We got weights of quadrature formulas. Presented results of numerical experiments.

Keywords: integral-algebraic equations, multistep methods, Adam's methods, weakly singular, numerical methods.

UDC: 519.642