Numerical solution the Volterra dual integral equation of the first kind based on a method of Runge-Kutta type

Abstract

The paper focuses on the non-classical Volterra dual equation of the first kind, to which the problem of identifying non-symmetric Volterra kernels is reduced. For this equation, we obtained difference analogs based on the application of the Runge-Kutta type method. Such equations arise in the problem of modeling nonlinear dynamical systems of black-box type, which employ the Volterra integro-power series, when the input perturbation is a vector function of time.