An efficient numerical scheme for fractional model of HIV-1 infection of CD4+ T-cells with the effect of antiviral drug therapy

In the present paper, a HIV-1 infection of CD4(+) T-cells with the impact of drug treat-ment model of arbitrary order have been examined with the aid of Legendre wavelet operational matrix method. The technique employed to convert differential equations of arbitrary order into the linear or nonlinear algebraic equations, which are easy to handle by mathematical software. The comparison among the discussed methods with RK4, homotopy perturbation scheme, homo-topy analysis approach, Laplace adomian-decomposition technique and Adam-Bashforth predictor-corrector scheme divulge that the present technique is authentic and valid for other engi-neering problems. It is noticed that the suggested scheme are more efficient and effective. (C) 2020 The Authors. Published by Elsevier B.V. on behalf of Faculty of Engineering, Alexandria University. This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/ licenses/by-nc-nd/4.0/).