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

Yalçın Öztürk; Ayşe Anapalı Şenel; Ceren Limoncu; Mustafa Gülsu

Article Details

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

Authors:

Yalçın Öztürk | Ayşe Anapalı Şenel | Ceren Limoncu | Mustafa Gülsu

Publisher:

Adıyaman University

Main Topics:

Matematiksel Yöntemler ve Özel Fonksiyonlar

Journal:

Adıyaman Üniversitesi Fen Bilimleri Dergisi Vol.13 Issue 1&2, pp.59-73

Document Type:

Article

Publication Date:

12/2023

Document Language:

English

Document ID (Org No.):

2001306486

pISSN:

2147-1630

Keywords:

Abstract:

 In this research study, we aim to approximate a solution for the mathematical model of the Human Immunodeficiency Virus HIV infection of CD4T-cells. An operational matrix method based on Chebyshev orthogonal polynomials has been adapted to obtain numerical solutions for the model of HIV infection of CD4T-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.

 In this research study, we aim to approximate a solution for the mathematical model of the Human Immunodeficiency Virus HIV infection of CD4T-cells. An operational matrix method based on Chebyshev orthogonal polynomials has been adapted to obtain numerical solutions for the model of HIV infection of CD4T-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.

 In this research study, we aim to approximate a solution for the mathematical model of the Human Immunodeficiency Virus HIV infection of CD4T-cells. An operational matrix method based on Chebyshev orthogonal polynomials has been adapted to obtain numerical solutions for the model of HIV infection of CD4T-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.

 Bu çalışma, CD4T hücrelerinde HIV virüsünün matematiksel yayılım modeli için yaklaşık çözümler elde etmeyi amaçlamaktadır. Nümerik çözümler Chebyshev polinomları ile operasyonel matris metodunun CD4T hücrelerinde HIV virüsünün matematiksel yayılım modeline uygulanması ile elde edilecektir. Önerilen method modele ait nümerik çözümlerin bir Chebyshev serisi formunda yazılarak, Chebyhev serisi içindeki bilinmeyen katsayıları içeren lineer olmayan bir denklem sistemi inşa atmeyi amaçlar. Yöntemin doğruluğunu kontrol etmek için nümerik sonuçlar var olan nümerik yöntemlerle karşılaştırılmıştır.

Article Details

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

Authors:

Yalçın Öztürk | Ayşe Anapalı Şenel | Ceren Limoncu | Mustafa Gülsu

Publisher:

Adıyaman University

Main Topics:

Matematiksel Yöntemler ve Özel Fonksiyonlar

Journal:

Adıyaman Üniversitesi Fen Bilimleri Dergisi Vol.13 Issue 1&2, pp.59-73

Document Type:

Article

Publication Date:

12/2023

Document Language:

English

Document ID (Org No.):

2001306486

pISSN:

2147-1630

Model of the HIV infection

CD4+T cells

Operational matrix method

Chebyshev polynomials

Nonlinear system of differential equationsHIV Enfenksiyon Modeli

CD4+T hücreleri

Operasyonel matris metot

Chebyshev polinomları

Lineer olmayan diferansiyel denklem sistemleri

Issues

Article Details

Authors: Yalçın Öztürk | Ayşe Anapalı Şenel | Ceren Limoncu | Mustafa Gülsu

Publisher: Adıyaman University

Main Topics: Matematiksel Yöntemler ve Özel Fonksiyonlar

Journal: Adıyaman Üniversitesi Fen Bilimleri Dergisi Vol.13 Issue 1&2, pp.59-73

Document Type: Article

Publication Date: 12/2023

Document Language: English

Document ID (Org No.): 2001306486

pISSN: 2147-1630

Issues

Authors:

Yalçın Öztürk | Ayşe Anapalı Şenel | Ceren Limoncu | Mustafa Gülsu

Publisher:

Adıyaman University

Main Topics:

Matematiksel Yöntemler ve Özel Fonksiyonlar

Journal:

Adıyaman Üniversitesi Fen Bilimleri Dergisi Vol.13 Issue 1&2, pp.59-73

Document Type:

Article

Publication Date:

12/2023

Document Language:

English

Document ID (Org No.):

2001306486

pISSN:

2147-1630