Collocation methods for Volterra integral and integro-differential equations: A review
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 …
equations and integro-differential equations by means of collocation type methods, which …
Stability analysis for fractional order advection–reaction diffusion system
In this paper, we present an alternative representation of the advection–reaction diffusion
model involving fractional-order derivatives with Mittag-Leffler kernel. The study includes …
model involving fractional-order derivatives with Mittag-Leffler kernel. The study includes …
Nonstandard finite differences numerical methods for a vegetation reaction–diffusion model
In this work we derive NonStandard Finite Differences (NSFDs)(Anguelov and Lubuma,
2001; Mickens, 2020) numerical schemes to solve a model consisting of reaction–diffusion …
2001; Mickens, 2020) numerical schemes to solve a model consisting of reaction–diffusion …
Stiffness analysis to predict the spread out of fake information
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 …
differential problems, can be employed to model the spread of fake news. In particular, we …
Stability issues for selected stochastic evolutionary problems: a review
We review some recent contributions of the authors regarding the numerical approximation
of stochastic problems, mostly based on stochastic differential equations modeling random …
of stochastic problems, mostly based on stochastic differential equations modeling random …
Multivalue collocation methods free from order reduction
R D'Ambrosio, B Paternoster - Journal of Computational and Applied …, 2021 - Elsevier
This paper introduces multivalue collocation methods for the numerical solution of stiff
problems. The presented approach does not exhibit the phenomenon of order reduction …
problems. The presented approach does not exhibit the phenomenon of order reduction …
Global numerical analysis of an improved IMEX numerical scheme for a reaction diffusion SIS model in advective heterogeneous environments
X Liu, ZW Yang, YM Zeng - Computers & Mathematics with Applications, 2023 - Elsevier
This paper presents globally numerical properties of a new numerical scheme for a reaction-
diffusion advection susceptible-infected-susceptible (SIS) model. A new numerical treatment …
diffusion advection susceptible-infected-susceptible (SIS) model. A new numerical treatment …
Multivalue mixed collocation methods
This paper is devoted to the construction of multivalue mixed collocation methods suitable
for ordinary differential systems whose solution is known in advance to be oscillatory …
for ordinary differential systems whose solution is known in advance to be oscillatory …
Exponentially fitted two-step peer methods for oscillatory problems
This paper concerns the construction of a general class of exponentially fitted two-step
implicit peer methods for the numerical integration of Ordinary Differential Equations (ODEs) …
implicit peer methods for the numerical integration of Ordinary Differential Equations (ODEs) …
A modified seir model: stiffness analysis and application to the diffusion of fake news
R D'Ambrosio, P Díaz de Alba, G Giordano… - … Science and Its …, 2022 - Springer
In this work we propose a novel and alternative interpretation of the SEIR model, typically
used in epidemiology to describe the spread of a disease in a given population, to describe …
used in epidemiology to describe the spread of a disease in a given population, to describe …