Nonstandard Finite Difference Schemes for HIV Models Arising in Epidemiology

Abstract

In this study, the numerical solution of Nonstandard Finite Difference Schemes for HIV Models Arising in Epidemiology have been presented. First, the given domain or region is discritized and the derivatives of the differential equation were replaced by nonstandard finite difference approximations and solved at different time step-sizes and various parameters. The stability and consistency of the method are established which shows convergence of the method. To validate the applicability of the method, model examples have been considered and solved at different time step-sizes. As it can be observed from the numerical results presented in Tables and graphs, the present method approximates solution very well. iii