Adomian Decomposition Method Combined with Padé Approximation and Laplace Transform for Solving a Model of HIV Infection of CD4+T Cells
The classical Adomian decomposition method (ADM) is implemented to solve a model of HIV infection of CD4+T cells. The results indicate that the approximate solution by using the ADM is the same as that by using the Laplace ADM, but it can be obtained in a more efficient way. We also use Padé approxi...
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| Format: | Article |
| Language: | English |
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Wiley
2015-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2015/584787 |
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| _version_ | 1850224935795949568 |
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| author | Fang Chen Qing-Quan Liu |
| author_facet | Fang Chen Qing-Quan Liu |
| author_sort | Fang Chen |
| collection | DOAJ |
| description | The classical Adomian decomposition method (ADM) is implemented to solve a model of
HIV infection of CD4+T cells. The results indicate that the approximate solution by using
the ADM is the same as that by using the Laplace ADM, but it can be obtained in a more
efficient way. We also use Padé approximation and Laplace transform as a posttreatment
technique to obtain the result of the ADM. The advantage of the posttreatment is illustrated
by numerical experiments. |
| format | Article |
| id | doaj-art-5a3d61748c8244d0a1f5ea5a2501b978 |
| institution | OA Journals |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2015-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-5a3d61748c8244d0a1f5ea5a2501b9782025-08-20T02:05:29ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2015-01-01201510.1155/2015/584787584787Adomian Decomposition Method Combined with Padé Approximation and Laplace Transform for Solving a Model of HIV Infection of CD4+T CellsFang Chen0Qing-Quan Liu1School of Applied Science, Beijing Information Science and Technology University, Beijing 100192, ChinaKey Laboratory for Mechanics in Fluid Solid Coupling Systems, Institute of Mechanics, Chinese Academy of Sciences, Beijing 100190, ChinaThe classical Adomian decomposition method (ADM) is implemented to solve a model of HIV infection of CD4+T cells. The results indicate that the approximate solution by using the ADM is the same as that by using the Laplace ADM, but it can be obtained in a more efficient way. We also use Padé approximation and Laplace transform as a posttreatment technique to obtain the result of the ADM. The advantage of the posttreatment is illustrated by numerical experiments.http://dx.doi.org/10.1155/2015/584787 |
| spellingShingle | Fang Chen Qing-Quan Liu Adomian Decomposition Method Combined with Padé Approximation and Laplace Transform for Solving a Model of HIV Infection of CD4+T Cells Discrete Dynamics in Nature and Society |
| title | Adomian Decomposition Method Combined with Padé Approximation and Laplace Transform for Solving a Model of HIV Infection of CD4+T Cells |
| title_full | Adomian Decomposition Method Combined with Padé Approximation and Laplace Transform for Solving a Model of HIV Infection of CD4+T Cells |
| title_fullStr | Adomian Decomposition Method Combined with Padé Approximation and Laplace Transform for Solving a Model of HIV Infection of CD4+T Cells |
| title_full_unstemmed | Adomian Decomposition Method Combined with Padé Approximation and Laplace Transform for Solving a Model of HIV Infection of CD4+T Cells |
| title_short | Adomian Decomposition Method Combined with Padé Approximation and Laplace Transform for Solving a Model of HIV Infection of CD4+T Cells |
| title_sort | adomian decomposition method combined with pade approximation and laplace transform for solving a model of hiv infection of cd4 t cells |
| url | http://dx.doi.org/10.1155/2015/584787 |
| work_keys_str_mv | AT fangchen adomiandecompositionmethodcombinedwithpadeapproximationandlaplacetransformforsolvingamodelofhivinfectionofcd4tcells AT qingquanliu adomiandecompositionmethodcombinedwithpadeapproximationandlaplacetransformforsolvingamodelofhivinfectionofcd4tcells |