Solving differential equations of fractional (ie, non-integer) order in an accurate, reliable and
efficient way is much more difficult than in the standard integer-order case; moreover, the …

The aim of this paper is to develop an accurate discretization technique to solve a class of
variable-order fractional (VOF) reaction-diffusion problems. In the spatial direction, the …

We present a collection of recent results on the numerical approximation of Volterra integral
equations and integro-differential equations by means of collocation type methods, which …

This work highlights how the stiffness index, which is often used as a measure of stiffness for
differential problems, can be employed to model the spread of fake news. In particular, we …

The present paper illustrates some classes of multivalue methods for the numerical solution
of ordinary and fractional differential equations. In particular, it focuses on two-step and …

This paper analyzes the numerical stability of a class of two-step spline collocation methods
for initial value problems for fractional differential equations. The stability region is …

This paper is concerned with a highly accurate numerical scheme for a class of one-and two-
dimensional time-fractional advection-reaction-subdiffusion equations of variable-order α (x …

We analyze long-term properties of stochastic θ-methods for damped linear stochastic
oscillators. The presented a-priori analysis of the error in the correlation matrix allows to infer …

The paper provides a spectral collocation numerical scheme for the approximation of the
solutions of stochastic fractional differential equations. The discretization of the operator …

Volterra integro-differential equations arise in the modeling of natural systems where the
past influence the present and future, for example pollution, population growth, mechanical …