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 …

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 …

The qualitative and quantitative analysis of numerical methods for delay differential
equations is now quite well understood, as reflected in the recent monograph by Bellen and …

This paper is concerned with the convergence properties of the Legendre spectral
collocation methods when used to approximate smooth solutions of Volterra integro …

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 …

This paper stresses its base contribution on a new SIR-type model including direct and
fomite transmission as well as the effect of distinct household structures. The model …

In this article, Sinc collocation method is considered to obtain the numerical solution of
pantograph Volterra delay-integro-differential equation (VDIDE). This numerical method …

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 …

This work is to analyze a Legendre spectral collocation approximation for Volterra delay-
integro-differential equations. An error analysis is provided for the proposed methods …

This paper is concerned with the stability of numerical methods for linear neutral Volterra
delay-integro-differential system. A sufficient condition such that the system is asymptotically …