Applicability and analysis of trigonometric - exponential single-step method for the numerical solution of HIV-1 model

Abstract

This paper proposes the Trigonometric Exponential Single-Step Method (TESSM) for the numerical solution of HIV-1 infection model by using an interpolating function that consists of both trigonometric and exponential functions. The delay argument was approximated using Lagrange interpolation. The analysis of TESSM such as order of accuracy, convergence, consistency and stability was presented. The applicability of TESSM was tested on the HIV-1 infection model. The results generated via TESSM were also presented.