A Numerical Application of the Chebyshev Operational Matrix Method for HIV Infection of CD4+T-cells

Authors : Yalçın Öztürk, Ayşe Anapali Şenel, Ceren Limoncu, Mustafa Gülsu

Pages : 59-73

Doi:10.37094/adyujsci.1351204

View : 46 | Download : 74

Publication Date : 2023-12-31

Article Type : Research Paper

Abstract :In this research study, we aim to approximate a solution for the mathematical model of the Human Immunodeficiency Virus (HIV) infection of CD4+T-cells. An operational matrix method based on Chebyshev orthogonal polynomials has been adapted to obtain numerical solutions for the model of HIV infection of CD4+T-cells. The proposed numerical scheme is built on a system of a nonlinear algebraic equation, including coefficients of a finite Chebyshev series that represent the approximate solutions of the model. Results are compared to existing methods to verify the accuracy of the numerical scheme.
Keywords : HIV Enfenksiyon Modeli, CD4 T hücreleri, Operasyonel matris metot, Chebyshev polinomları, Lineer olmayan diferansiyel denklem sistemleri