An Optimization Method Based on the Generalized Polynomials for a Model of HIV Infection of CD4+\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\hbox {CD4}^{+}$$\end{document} T Cells

被引：0
作者：
H. Hassani
S. Mehrabi
E. Naraghirad
M. Naghmachi
S. Yüzbaşi
机构：
[1] Ton Duc Thang University,Faculty of Mathematics and Statistics
[2] Shiraz University of Medical Sciences,Department of Internal Medicine
[3] Yasouj University,Department of Mathematics
[4] Yasouj University of Medical Sciences,Department of Nutrition, Faculty of Microbiology
[5] Akdeniz University,Department of Mathematics, Faculty of Science
来源：
Iranian Journal of Science and Technology, Transactions A: Science | 2020年 / 44卷 / 2期
关键词：
A model of HIV infection of ; T cells; Generalized polynomials; Operational matrices; Optimization method; Control parameters; 97M60; 41A58; 34A45;
D O I：
10.1007/s40995-020-00833-3
中图分类号：
学科分类号：
摘要：
In this paper, an optimization method based on the generalized polynomials (GP) including the unknown free coefficients and control parameters has been proposed to approximate the solution of a model of HIV infection of CD4+\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\hbox {CD4}^{+}$$\end{document} T cells (HIV-I-CD4T). First, the operational matrices (OM) of derivatives are derived. Then, based on these OM and the Lagrange multipliers method, an optimization method is presented to approximate solution of a model of HIV-I-CD4T. An illustrative example is given to demonstrate the efficiency and accuracy of the proposed method and confirms that results are in good accuracy in comparisons with other numerical approaches.
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页码：407 / 416
页数：9
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  • [1] Abdel-Halim Hassan IH(2008)Application to differential transformation method for solving systems of differential equations Appl Math Model 32 2552-2559
  • [2] Ablinger J(2019)Automated solution of first order factorizable systems of differential equations in one variable Nucl Phys B 939 253-291
  • [3] Blümlein J(2018)Systems of delay differential equations: analysis of a model with feedback Commun Nonlinear Sci 65 299-308
  • [4] Marquard P(2012)Fractional modeling dynamics of HIV and Nonlinear Biomed Phys 6 1-7
  • [5] Rana N(2014) T-cells during primary infection Int J Biomath 7 1450036-2274
  • [6] Schneider C(2019)A fractional-order model of HIV infection: numerical solution and comparisons with data of patients Numer Methods. Partial Differ Equ 35 2258-1598
  • [7] Alliera CHD(2017)Transcendental Bernstein series for solving reaction-diffusion equations with nonlocal boundary conditions through the optimization technique Eur Phys J Plus 132 130-189
  • [8] Amster P(2017)A new optimization method for a class of time fractional convection-diffusion-wave equations with variable coefficients Nonlinear Dyn 88 1587-2660
  • [9] Arafa AAM(2019)An optimization method based on the generalized polynomials for nonlinear variable-order time fractional diffusion-wave equation Nucl Phys B 940 130-61
  • [10] Rida SZ(2014)The system of partial differential equations for the Appl Math Model 38 2648-8236
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