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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| Format: | Article |
| Language: | English |
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MDPI
2019
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| Online Access: | http://psasir.upm.edu.my/id/eprint/38376/ http://psasir.upm.edu.my/id/eprint/38376/1/38376.pdf |
| _version_ | 1848848862667603968 |
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| author | Jana Aksah, Saufianim Ibrahim, Zarina Bibi |
| author_facet | Jana Aksah, Saufianim Ibrahim, Zarina Bibi |
| author_sort | Jana Aksah, Saufianim |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | 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. |
| first_indexed | 2025-11-15T09:41:15Z |
| format | Article |
| id | upm-38376 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T09:41:15Z |
| publishDate | 2019 |
| publisher | MDPI |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-383762020-05-04T16:25:24Z http://psasir.upm.edu.my/id/eprint/38376/ Singly diagonally implicit block backward differentiation formulas for HIV infection of CD4+T cells Jana Aksah, Saufianim Ibrahim, Zarina Bibi 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. MDPI 2019 Article PeerReviewed text en http://psasir.upm.edu.my/id/eprint/38376/1/38376.pdf 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 https://www.mdpi.com/2073-8994/11/5/625 10.3390/sym11050625 |
| spellingShingle | Jana Aksah, Saufianim Ibrahim, Zarina Bibi Singly diagonally implicit block backward differentiation formulas for HIV infection of CD4+T cells |
| title | Singly diagonally implicit block backward differentiation formulas for HIV infection of CD4+T cells |
| title_full | Singly diagonally implicit block backward differentiation formulas for HIV infection of CD4+T cells |
| title_fullStr | Singly diagonally implicit block backward differentiation formulas for HIV infection of CD4+T cells |
| title_full_unstemmed | Singly diagonally implicit block backward differentiation formulas for HIV infection of CD4+T cells |
| title_short | Singly diagonally implicit block backward differentiation formulas for HIV infection of CD4+T cells |
| title_sort | singly diagonally implicit block backward differentiation formulas for hiv infection of cd4+t cells |
| url | http://psasir.upm.edu.my/id/eprint/38376/ http://psasir.upm.edu.my/id/eprint/38376/ http://psasir.upm.edu.my/id/eprint/38376/ http://psasir.upm.edu.my/id/eprint/38376/1/38376.pdf |