Hashemizadeh Elham, Ebadi Mohammad Ali
Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran.
Young Researchers and Elite Club, Karaj Branch, Islamic Azad University, Karaj, Iran.
Adv Differ Equ. 2020;2020(1):527. doi: 10.1186/s13662-020-02984-4. Epub 2020 Sep 25.
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.
冠状病毒病（COVID-19）是一种由新发现的冠状病毒引起的传染病。本文通过应用第二类勒让德多项式为新型冠状病毒的数学模型提供了一个数值解，以求出COVID-19的传播率。当前问题的数学模型是一个微分方程组。目标是利用第二类勒让德多项式的有用性质和易于求解的配置法将该系统转化为代数系统。我们将该方法的结果与龙格 - 库塔方法的结果进行比较，以展示所提方法的有效性。
