Second-order Volterra integro-differential equation is solved by the linear barycentric
rational collocation method. Following the barycentric interpolation method of Lagrange …

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 …

Backward differential formulae (BDF) are the basis of the highly efficient schemes for the
numerical solution of stiff ordinary differential equations for decades. An alternative multistep …

The main aim of this paper is to develop a class of high-order finite difference method for the
numerical solution of Caputo type time-fractional sub-diffusion equation. In the time …

This investigation presents an effective numerical scheme using a new set of basis
functions, namely, the piecewise barycentric interpolating functions, to find the approximate …

It is our purpose to introduce a simple multistep method based on linear barycentric rational
interpolation for solving ordinary differential equations. Also, we design an adaptive version …

In this paper, an iterative scheme including a combination of the quasilinearization
technique and multi-dimensional linear barycentric rational interpolation is applied to solve …

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 …

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

In the current paper, an iterative numerical scheme based upon the quasilinearization
technique and Nyström method to find the approximate solution of the nonlinear Fredholm …