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


Citation

Jana Aksah, Saufianim and Ibrahim, Zarina Bibi (2019) Singly diagonally implicit block backward differentiation formulas for HIV infection of CD4+T cells. Symmetry, 11 (5). art. no. 625. pp. 1-8. ISSN 2073-8994

Abstract

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.


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Official URL or Download Paper: https://www.mdpi.com/2073-8994/11/5/625

Additional Metadata

Item Type: Article
Divisions: Faculty of Science
Institute for Mathematical Research
DOI Number: https://doi.org/10.3390/sym11050625
Publisher: MDPI
Keywords: Backward differentiation formulas; Block multistep method; CD4+T cell; HIV infection; Singly diagonally implicit
Depositing User: Nabilah Mustapa
Date Deposited: 04 May 2020 16:25
Last Modified: 04 May 2020 16:25
Altmetrics: http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.3390/sym11050625
URI: http://psasir.upm.edu.my/id/eprint/38376
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