We consider the singularly perturbed initial value problem for a linear first order Volterra
integro-differential equation with delay. Our purpose is to construct and analyse a numerical …

A method for solving delay Volterra integro-differential equations is introduced. It is based on
two applications of linear barycentric rational interpolation, barycentric rational quadrature …

This paper deals with the stability of Runge–Kutta methods for a class of stiff systems of
nonlinear Volterra delay‐integro‐differential equations. Two classes of methods are …

In this paper, the initial value problem for a quasilinear singularly perturbed delay Volterra
integro-differential equation was considered. By the method of integral identities with the use …

A new class of numerical methods for Volterra integro-differential equations with memory is
developed. The methods are based on the combination of general linear methods with …

This paper deals with the analytic and numerical dissipativity of nonlinear Volterra delay-
integro-differential equations (VDIDEs). A dissipativity criteria for VDIDEs is given. We …

In this paper, we construct a class of extended block boundary value methods (B2VMs) for
Volterra delay integro-differential equations and analyze the convergence and stability of the …

This paper deals with the numerical computation and analysis for nonlinear Sobolev
equations with distributed delay. We present linearized compact difference methods for …

In this paper, we propose an efficient Newton linearized numerical method for the nonlinear
time-fractional parabolic equations with distributed delay based on the Galerkin finite …

High-order linear Volterra delay integro-differential equations are examined in the present
paper. Proposed approach, which will be provided for solving high-order linear Volterra …