A numerical solution by alternative Legendre polynomials on a model for novel coronavirus (COVID-19)

Advances in Difference Equations

article

Hashemizadeh, Elham¹  Ebadi, Mohammad Ali² 

[1] Department of Mathematics, Karaj Branch, Islamic Azad University;Young Researchers and Elite Club, Karaj Branch, Islamic Azad University

关键词: Coronavirus;    COVID-19;    Operational matrix of derivative;    Alternative Legendre polynomials;   

DOI  :  10.1186/s13662-020-02984-4

学科分类：航空航天科学

来源: SpringerOpen

【 摘 要 】

Coronavirus disease (COVID-19) is an infectious disease caused by a newly discovered coronavirus. This paper provides a numerical solution for the mathematical model of the novel coronavirus by the application of alternative Legendre polynomials to find the transmissibility of COVID-19. The mathematical model of the present problem is a system of differential equations. The goal is to convert this system to an algebraic system by use of the useful property of alternative Legendre polynomials and collocation method that can be solved easily. We compare the results of this method with those of the Runge–Kutta method to show the efficiency of the proposed method.

【 授权许可】

CC BY