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.
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