Numerical solutions for the new Coronavirus (COVID 19) mathematical model by the operational matrix using the clique polynomials method

Zahra Eidinejad; Reza Saadati; Javad Vahidi; Donal O'Regan

doi:10.1016/j.heliyon.2024.e29545

Numerical solutions for the new Coronavirus (COVID 19) mathematical model by the operational matrix using the clique polynomials method

Heliyon. 2024 Apr 19;10(8):e29545. doi: 10.1016/j.heliyon.2024.e29545. eCollection 2024 Apr 30.

Authors

Zahra Eidinejad¹, Reza Saadati¹, Javad Vahidi¹, Donal O'Regan²

Affiliations

¹ School of Mathematics and Computer Science, Iran University of Science and Technology, Narmak, Tehran, 13114-16846, Iran.
² School of Mathematical and Statistical Sciences, University of Galway, University Road, Galway, Ireland.

Abstract

In this paper, we consider a differential equation system and present a new method based on Clique polynomials (CP-M) to obtain numerical solutions of this system. The system of differential equations is a mathematical model of a new virus called Corona, which causes an infectious disease called COVID-19. By solving this system of equations, we check the transmissibility of the Coronavirus by the CPs method. In particular we turn the system of differential equations into an algebraic system to obtain solutions. Finally, we compare the numerical results obtained by the CPs method with the numerical results of other methods.

Keywords: COVID-19; Coronavirus; Initial-value problems; Operational matrices; The clique polynomial method.