Singly diagonally implicit block backward differentiation formulas for HIV infection of CD4+T cells
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 p...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
MDPI
2019
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| 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 |
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| Summary: | 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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