This paper introduces a family of barycentric rational predictor-corrector schemes based on
the Floater–Hormann family of linear barycentric rational interpolants (LBRIs) for the …

The aim of the present paper is to introduce a new numerical method for solving Volterra
integro-differential equation involving delay and neutral types. Using the numerical …

In this paper, the short memory principle (SMP) is applied for solving the Abel differential
equation with fractional order. We evaluate the approximate solution at the end of required …

This paper is concerned with the application of the multi-wavelets Galerkin method to linear
and nonlinear second order Volterra integro-differential equations. Using the operational …

Abstract The Floater–Hormann family of the barycentric rational interpolants has recently
gained popularity because of its excellent stability properties and highly order of …

This paper concerns on the introduction of a method for solving a class of Volterra integro-
differential equations (VIDEs) of the second kind. It is based on the combination of special …

A very general class of Runge-Kutta methods for Volterra integral equations of the second
kind is analyzed. Order and stage order conditions are derived for methods of order p and …

This paper deals with the stability analysis of the composite barycentric rational quadrature
method (CBRQM) for the second kind Volterra integral equations through application to the …

In this paper we systematically investigate explicit strong stability preserving (SSP)
multistage integration methods, a subclass of general linear methods (GLMs), of order p and …

In this paper, we investigate highly stable multistep Runge–Kutta methods for Volterra
integral equations. First, the order conditions for order p and stage order q= pq= p are …