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 …

In this paper, a class of finite difference method (FDM) is designed for solving the
timefractional Liouville-Caputo and space-Riesz fractional diffusion equation. For this …

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 …

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

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 …

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 …

In order to highlight the advantages of linear rational finite difference (LRFD) and half-sweep
iteration methods, we investigate the numerical solution of the first-order linear Fredholm …

In this paper, a new three-point linear rational finite difference (3LRFD) formula is
investigated, which is combined with the compound trapezoidal scheme to discretize the …

The numerical solutions of the second-order linear Fredholm integro-differential equations
have been considered and discussed based on several discretization schemes. In this …