Singly diagonally implicit block backward differentiation formulas for HIV infection of CD4+T cells

• Main Authors: Jana Aksah, Saufianim, Ibrahim, Zarina Bibi
• Format: Article
• Language: English
• Published: MDPI 2019
• Online Access: http://psasir.upm.edu.my/id/eprint/38376/1/38376.pdf; http://psasir.upm.edu.my/id/eprint/38376/; https://www.mdpi.com/2073-8994/11/5/625

In this study, a singly diagonally implicit block backward differentiation formula (SDIBBDF) was proposed to approximate solutions for a dynamical HIV infection model of CD 4+ T cells. A SDIBBDF method was developed to overcome difficulty when implementing the fully implicit method by deriving the proposed method in lower triangular form with equal diagonal coefficients. A comparative analysis between the proposed method, BBDF, classical Euler, fourth-order Runge-Kutta (RK4) method, and a Matlab solver was conducted. The numerical results proved that the SDIBBDF method was more efficient in solving the model than the methods to be compared.