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

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Taylor collocation method for a system of nonlinear Volterra delay integro-differential equations with application to COVID-19 epidemic
International Journal of Computer Mathematics ( IF 1.8 ) Pub Date : 2021-06-28 , DOI: 10.1080/00207160.2021.1938012
Hafida Laib ₁ , Azzeddine Bellour ₂ , Aissa Boulmerka ₁

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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.

更新日期：2021-06-28

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