[HTML][HTML] A finite difference method on quasi-uniform grids for the fractional boundary-layer Blasius flow

A Jannelli - Mathematics and Computers in Simulation, 2024 - Elsevier
In this paper, we propose a fractional formulation, in terms of the Caputo derivative, of the
Blasius flow described by a non-linear two-point fractional boundary value problem on a …

[HTML][HTML] Finite difference schemes on quasi-uniform grids for BVPs on infinite intervals

R Fazio, A Jannelli - Journal of Computational and Applied Mathematics, 2014 - Elsevier
The classical numerical treatment of boundary value problems defined on infinite intervals is
to replace the boundary conditions at infinity by suitable boundary conditions at a finite point …

A second order finite-difference ghost-point method for elasticity problems on unbounded domains with applications to volcanology

A Coco, G Currenti, C Del Negro… - … in Computational Physics, 2014 - cambridge.org
We propose a finite-difference ghost-point approach for the numerical solution of Cauchy-
Navier equations in linear elasticity problems on arbitrary unbounded domains. The …

Numerical study on gas flow through a micro–nano porous medium based on finite difference schemes on quasi-uniform grids

R Fazio, A Jannelli, T Rotondo - International Journal of Non-Linear …, 2018 - Elsevier
In this paper, the unsteady isothermal flow of a gas through a semi-infinite micro–nano
porous medium described by a non-linear two-point boundary value problem on a semi …

[HTML][HTML] On the solution of a parabolic PDE involving a gas flow through a semi-infinite porous medium

DN Pop, N Vrinceanu, S Al-Omari, N Ouerfelli… - Results in Physics, 2021 - Elsevier
Taking as start point the parabolic partial differential equation with the respective initial and
boundary conditions, the present research focuses onto the flow of a sample of waste-water …

Efficient numerical methods for the Maxey-Riley equations with Basset history term

J Urizarna-Carasa, L Schlegel, D Ruprecht - arXiv preprint arXiv …, 2024 - arxiv.org
The Maxey-Riley equations (MRE) describe the motion of a finite-sized, spherical particle in
a fluid. Because of wake effects, the force acting on a particle depends on its past trajectory …

On the moving boundary formulation for parabolic problems on unbounded domains

R Fazio, S Iacono - International Journal of Computer Mathematics, 2010 - Taylor & Francis
The aim of this paper is to propose an original numerical approach for parabolic problems
whose governing equations are defined on unbounded domains. We are interested in …

Method of infinite system of equations for problems in unbounded domains

D Quang A, T Dinh Hung - Journal of Applied Mathematics, 2012 - Wiley Online Library
Many problems of mechanics and physics are posed in unbounded (or infinite) domains. For
solving these problems one typically limits them to bounded domains and find ways to set …

Approximating the Solution Stochastic Process of the Random Cauchy One‐Dimensional Heat Model

A Navarro-Quiles, JV Romero… - Abstract and Applied …, 2016 - Wiley Online Library
This paper deals with the numerical solution of the random Cauchy one‐dimensional heat
model. We propose a random finite difference numerical scheme to construct numerical …

Two finite difference methods for a nonlinear BVP arising in physical oceanography

R Fazio, A Jannelli - Atti della Accademia Peloritana dei Pericolanti …, 2018 - cab.unime.it
In this paper we define two finite difference methods for a nonlinear boundary value problem
on infinite interval. In particular, we report and compare the numerical results for an ocean …