An Optimization Method Based on the Generalized Polynomials for a Model of HIV Infection of CD4(+) T Cells

HASSANI H., Mehrabi S., NARAGHIRAD E., NAGHMACHI M., YÜZBAŞI Ş.

IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A-SCIENCE, vol.44, no.2, pp.407-416, 2020 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 44 Issue: 2
  • Publication Date: 2020
  • Doi Number: 10.1007/s40995-020-00833-3
  • Journal Name: IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A-SCIENCE
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, ABI/INFORM, Aerospace Database, Agricultural & Environmental Science Database, Aqualine, Aquatic Science & Fisheries Abstracts (ASFA), BIOSIS, CAB Abstracts, Communication Abstracts, zbMATH
  • Page Numbers: pp.407-416
  • Keywords: A model of HIV infection of CD4(+) T cells, Generalized polynomials, Operational matrices, Optimization method, Control parameters, DIFFERENTIAL-EQUATIONS, CHEBYSHEV POLYNOMIALS, COMPUTATIONAL METHOD, NUMERICAL-SOLUTION, GALERKIN METHOD, SYSTEMS, STABILITY
  • Akdeniz University Affiliated: Yes

Abstract

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(+)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.