In various fields of science and engineering, such as financial mathematics, mathematical
physics models, and radiation transfer, stochastic integral equations are important and …

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 …

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

In this study, the second kind Volterra integral equations (VIEs) are considered. An algorithm
based on the two-point Taylor formula as a special case of the Hermite interpolation is …

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 …

Reducible quadrature rules constitute a well-established class of direct quadrature methods
for approximating solutions to Volterra integral equations. Unlike interpolatory quadrature …

Due to their several attractive properties, BDF-type multistep methods are usually the
method-of-choice for solving stiff initial value problems (IVPs) of ordinary differential …

This paper investigates two postprocessing techniques for barycentric rational collocation
methods for Volterra integral equations with weakly singular kernels. The interpolation …

For their several attractive features from the viewpoint of the numerical computations, linear
barycentric rational interpolants have been recently used to construct various numerical …

The linear rational finite difference method (LRFD) is becoming more and more popular
recently due to its excellent stability properties and convergence rate, especially when we …