The linear barycentric rational collocation method for solving heat conduction equation is
presented. The matrix form of discrete heat conduction equation by collocation method is …

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

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 …

In this paper, two applications of linear barycentric rational interpolation are used to derive a
difference-quadrature scheme for solving a class of systems of Volterra integro-differential …

Two‐dimensional biharmonic boundary‐value problems are considered by the linear
barycentric rational method, the unknown function was approximated by the barycentric …

For their high accuracy and good stability properties, implicit numerical methods are widely
used for solving Volterra integral equations, while, in order to save computational effort …

Two-dimensional biharmonic boundary-value problems are considered by the linear
barycentric rational collocation method, and the unknown function is approximated by 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 present paper deals with the numerical solution for a general form of a system of
nonlinear Volterra delay integro-differential equations (VDIDEs). The main purpose of this …