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

Fang Chen; Qing Quan Liu

doi:10.1155/2015/584787

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

Fang Chen, Qing Quan Liu^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

10 Citations (Scopus)

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 Pade 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.

Original language	English
Article number	584787
Journal	Discrete Dynamics in Nature and Society
Volume	2015
DOIs	https://doi.org/10.1155/2015/584787
Publication status	Published - 2015
Externally published	Yes

UN SDGs

This output contributes to the following UN Sustainable Development Goals (SDGs)

Access to Document

10.1155/2015/584787

Cite this

@article{a33751de05b146ad829b27d55c3ccd9f,

title = "Adomian Decomposition Method Combined with Pade Approximation and Laplace Transform for Solving a Model of HIV Infection of CD4+T Cells",

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 Pade 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.",

author = "Fang Chen and Liu, {Qing Quan}",

note = "Publisher Copyright: {\textcopyright} 2015 Fang Chen and Qing-Quan Liu.",

year = "2015",

doi = "10.1155/2015/584787",

language = "English",

volume = "2015",

journal = "Discrete Dynamics in Nature and Society",

issn = "1026-0226",

publisher = "John Wiley and Sons Ltd",

}

TY - JOUR

T1 - Adomian Decomposition Method Combined with Pade Approximation and Laplace Transform for Solving a Model of HIV Infection of CD4+T Cells

AU - Chen, Fang

AU - Liu, Qing Quan

PY - 2015

Y1 - 2015

N2 - 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 Pade 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.

AB - 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 Pade 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.

UR - http://www.scopus.com/inward/record.url?scp=84944241553&partnerID=8YFLogxK

U2 - 10.1155/2015/584787

DO - 10.1155/2015/584787

M3 - Article

AN - SCOPUS:84944241553

SN - 1026-0226

VL - 2015

JO - Discrete Dynamics in Nature and Society

JF - Discrete Dynamics in Nature and Society

M1 - 584787

ER -

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

Abstract

UN SDGs

Access to Document

Other files and links

Fingerprint

Cite this