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Numerical Treatment of the Model for HIV Infection of CD4+T Cells by Using Multistep Laplace Adomian Decomposition Method
Author
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-08-26
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
A new method for approximate analytic series solution called multistep Laplace Adomian Decomposition Method (MLADM) has been proposed for solving the model for HIV infection of CD4+T cells.
The proposed method is modification of the classical Laplace Adomian Decomposition Method (LADM) with multistep approach.
Fourth-order Runge-Kutta method (RK4) is used to evaluate the effectiveness of the proposed algorithm.
When we do not know the exact solution of a given problem, generally we use the RK4 method for comparison since it is widely used and accepted.
Comparison of the results with RK4 method is confirmed that MLADM performs with very high accuracy.
Results show that MLADM is a very promising method for obtaining approximate solutions to the model for HIV infection of CD4+T cells.
Some plots and tables are presented to show the reliability and simplicity of the methods.
All computations have been made with the aid of a computer code written in Mathematica 7.
American Psychological Association (APA)
Doğan, Nurettin. 2012. Numerical Treatment of the Model for HIV Infection of CD4+T Cells by Using Multistep Laplace Adomian Decomposition Method. Discrete Dynamics in Nature and Society،Vol. 2012, no. 2012, pp.1-11.
https://search.emarefa.net/detail/BIM-512926
Modern Language Association (MLA)
Doğan, Nurettin. Numerical Treatment of the Model for HIV Infection of CD4+T Cells by Using Multistep Laplace Adomian Decomposition Method. Discrete Dynamics in Nature and Society No. 2012 (2012), pp.1-11.
https://search.emarefa.net/detail/BIM-512926
American Medical Association (AMA)
Doğan, Nurettin. Numerical Treatment of the Model for HIV Infection of CD4+T Cells by Using Multistep Laplace Adomian Decomposition Method. Discrete Dynamics in Nature and Society. 2012. Vol. 2012, no. 2012, pp.1-11.
https://search.emarefa.net/detail/BIM-512926
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-512926