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Adomian Decomposition Method Combined with Padé Approximation and Laplace Transform for Solving a Model of HIV Infection of CD4 + T Cells

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  • Fang Chen
  • Qing-Quan Liu

Abstract

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.

Suggested Citation

  • Fang Chen & Qing-Quan Liu, 2015. "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, Hindawi, vol. 2015, pages 1-7, September.
    • Handle: RePEc:hin:jnddns:584787
    DOI: 10.1155/2015/584787
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    Cited by:

    1. Essam R. El-Zahar & Ghaliah F. Al-Boqami & Haifa S. Al-Juaydi, 2024. "Approximate Analytical Solutions for Strongly Coupled Systems of Singularly Perturbed Convection–Diffusion Problems," Mathematics, MDPI, vol. 12(2), pages 1-24, January.

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