Computational modelling
A Mathematical Model on the Spread of COVID-19

Eshetu Dadi Gurmu; Mengesha Dibru Firdawoke; Mekash Ayalew Mohammed

Articles in Press, Accepted Manuscript, Available Online from 17 July 2023

https://doi.org/10.22105/jarie.2023.385542.1531

Abstract
  In this paper, a nonlinear mathematical model of COVID-19 was formulated. We proposed a SEIQR model using a system of ordinary differential equations. COVID-19 free equilibrium and endemic equilibrium points of the model are obtained. A basic reproduction number of the model is investigated by the next-generation ...  Read More

Computational modelling
Numerical approximation for the fractional advection-diffusion equation using a high order difference scheme

Zahra Mahboob Dana; Hashem Saberi Najafi; Amir Hossein Refahi Sheikhani

Volume 8, Issue 1 , March 2021, , Pages 90-103

https://doi.org/10.22105/jarie.2021.240340.1183

Abstract
  In this paper, a one-dimensional fractional advection-diffusion equation is considered. First, we propose a numerical approximation of the Riemann-Liouville fractional derivative which is fourth-order accurate, then a numerical method for the fractional advection-diffusion equation using a high order ...  Read More