Mathematics

On an iterative method for solving Volterra integral equations

I. V. Boykov, E. V. Kuchumov

Penza State University, Penza

Abstract: Offered iteration methods for solution of Volterra integral equatios of first and second kinds. Considered Volterra equations with convolution. Base attention is given for integral equations of the first kind $\int\limits_0^t h(t-\tau)x(\tau)d\tau =f(t)$, $\int\limits_0^{t_1} \int\limits_0^{t_2} h(t_1-\tau_1,t_2-\tau_2) x(\tau_1,\tau_2) d\tau_1 d\tau_2 = f(t_1,t_2)$.

Keywords: Volterre integral equations, interation methods.

UDC: 517.968.2; 519.62/.64