The aim of this chapter is to give a broad panorama the control properties fractional diffusive models from numerical analysis and simulation perspective. We do by surveying several research results we obtained in last years, focusing particular on computation controls, though not forgetting recall other relevant contributions which can be currently found literature prolific field. Our referenc...

In vivo fast-scan cyclic voltammetry provides high-fidelity recordings of electrically evoked dopamine release in the rat striatum. The evoked responses are suitable targets for numerical modeling because the frequency and duration of the stimulus are exactly known. Responses recorded in the dorsal and ventral striatum of the rat do not bear out the predictions of a numerical model that assumes...

A numerical method to solve the fractional diffusion equation, which could also be easily extended to many other fractional dynamics equations, is considered. These fractional equations have been proposed in order to describe anomalous transport characterized by non-Markovian kinetics and the breakdown of Fick’s law. In this paper we combine the forward time centered space (FTCS) method, well k...

This work proposes a tailored finite point method (TFPM) for the numerical solution of an anisotropic diffusion problem, which has much smaller diffusion coefficient along one direction than the other on a rectangle domain. The paper includes analysis on the differentiability of the solution to the given problem under some compatibility conditions. It has detailed derivation for a semi-discrete...

A numerical method to solve the fractional diffusion equation, which could also be easily extended to many other fractional dynamics equations, is considered. These fractional equations have been proposed in order to describe anomalous transport characterized by non-Markovian kinetics and the breakdown of Fick’s law. In this paper we combine the forward time centered space (FTCS) method, well k...

In this paper, we report on a 2D axissymmetric numerical model of the streamer-type discharge process in atmospheric air, as it can be implemented into COMSOL Multiphysics. The charge conserving Boltzmann drift-diffusion equations are solved in a logarithmic representation for improved numerical stability, whilst reducing the need for artificial diffusion terms. A charge density adaptive mesh i...

Compared with residential restrooms, public toilets usually have higher utilization rates. How to ensure the air quality in through reasonable ventilation is of great significance human health. In this study, an office building a toilet selected as research object, and Airpak 3.0 software adopted simulate airflow velocity distribution different change rates exhaust vent heights. Variations dist...