In this paper, two applications of linear barycentric rational interpolation are used to derive a
difference-quadrature scheme for solving a class of systems of Volterra integro-differential …

We introduce a novel, time-efficient adaptive Runge-Kutta computational scheme tailored for
systematically solving linear and nonlinear Volterra-type Integro-Differential Equations …

In this paper, an accurate numerical method based on the cosine-trigonometric basis
functions is developed to solve the Fredholm integral equations of the second kind. By using …

The many problems of natural sciences are reduced to solving integro-differential equations
with variable boundaries. It is known that Vito Volterra, for the study of the memory of Earth …

In this paper, we investigate multistep Runge–Kutta methods for Volterra integro-differential
equations. First, we derive order conditions for methods of order p and stage order q= p− 1 …

We propose a modification of multistep collocation methods for Volterra integro-differential
equations, an important type of Volterra equations including the derivative and integral of the …

General linear methods are adapted for solving nonlinear neutral delay integro-differential
equations. The sufficient conditions for the stability and asymptotic stability of (k, l) …

A novel time-efficient (TE) numerical scheme based on the Runge-Kutta (RK) algorithm is
devised for solving linear and non-linear Volterra-type integro-differential equations (VTIDE) …

This paper is concerned with the stability properties of Runge-Kutta methods for Volterra
integro-differential equations. Both the basic test equation and a convolution test equation …

In this paper, we investigate two-step Runge–Kutta methods to solve Volterra integro-
differential equations. Two-step Runge–Kutta methods increase the order of convergence in …