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Journals / Adıyaman Üniversitesi Fen Bilimleri Dergisi / 2023 / Cilt: 13 Sayı: 1&2

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

CD4+T Hücrelerindeki HIV Enfeksiyonunun Yayılım Modelinin Chebyshev Operasyonel Matris Metodu ile bir Nümerik Uygulaması

Yalçın Öztürk(MUGLA SITKI KOCMAN UNIVERSITY, ULA ALİ KOÇMAN VOCATIONAL SCHOOL)0000-0002-4142-5633
Ayşe Anapalı Şenel(MUĞLA SITKI KOÇMAN ÜNİVERSİTESİ)0000-0002-0198-1862
Ceren Limoncu(MUĞLA SITKI KOÇMAN ÜNİVERSİTESİ)0000-0002-8396-5945
Mustafa Gülsu(MUĞLA SITKI KOÇMAN ÜNİVERSİTESİ)0000-0001-6139-0266
Pages
59–73
Publication Date
2023-12-31
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

Results are compared to existing methods to verify the accuracy of the numerical scheme.

📌 3 Key Takeaways

🎯
Objective & Hypothesis: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.
📊
Key Findings & Data: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.
💡
Conclusion & Impact:Results are compared to existing methods to verify the accuracy of the numerical scheme.
🔬Design:Modeling & Simulation
📍Scope:Comprehensive Sample
⚙️Variables:HIV Enfenksiyon Modeli · CD4+T hücreleri · Operasyonel matris metot

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.

Özet

Bu çalışma, CD4+T hücrelerinde HIV virüsünün matematiksel yayılım modeli için yaklaşık çözümler elde etmeyi amaçlamaktadır. Nümerik çözümler Chebyshev polinomları ile operasyonel matris metodunun CD4+T 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.

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Cite This Article

Öztürk, Y., Şenel, A. A., Limoncu, C., Gülsu, M. (2023). A Numerical Application of the Chebyshev Operational Matrix Method for HIV Infection of CD4+T-cells. Adıyaman Üniversitesi Fen Bilimleri Dergisi, Cilt: 13 Sayı: 1&2, 59–73. https://doi.org/10.37094/adyujsci.1351204

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