Taylor collocation method for a system of nonlinear Volterra delay integro-differential equations with application to COVID-19 epidemic

被引：14

作者：

Laib, Hafida ^{[1
]}

Bellour, Azzeddine ^{[2
]}

Boulmerka, Aissa ^{[1
]}

机构：

[1] Univ Ctr Mila, Lab Math & Their Interact, Mila, Algeria

[2] Ecole Normale Suprieure Constantine, Lab Appl Math & Didact, Constantine, Algeria

来源：

INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS | 2022年 / 99卷 / 04期

关键词：

Nonlinear Volterra delay integro-differential equations; collocation method; Taylor polynomials; epidemic mathematical model; corona virus; NUMERICAL-SOLUTION; INTEGRAL-EQUATIONS; APPROXIMATE SOLUTION; ORDER; FREDHOLM; CONVERGENCE; MODEL;

D O I：

10.1080/00207160.2021.1938012

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The present paper deals with the numerical solution for a general form of a system of nonlinear Volterra delay integro-differential equations (VDIDEs). The main purpose of this work is to provide a current numerical method based on the use of continuous collocation Taylor polynomials for the numerical solution of nonlinear VDIDEs systems. It is shown that this method is convergent. Numerical results will be presented to prove the validity and effectiveness of this convergent algorithm. We apply models to the COVID-19 epidemic in China, Spain, and Italy and one for the Predator-Prey model in mathematical ecology.

引用

页码：852 / 876

页数：25

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