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An exponential collocation method for the solutions of the HIV infection model of \(\mathrm{CD}4^+\mathrm{T}\) cells

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Bibliographic Details
Title: An exponential collocation method for the solutions of the HIV infection model of \(\mathrm{CD}4^+\mathrm{T}\) cells
Authors: Yüzbaşı, Şuayip
Publisher Information: World Scientific, Singapore
Subject Terms: Medical epidemiology, Numerical methods for differential-algebraic equations, exponential collocation method, Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations, HIV infection model of \(\mathrm{CD}4^+\mathrm{T}\) cells, collocation points, systems of nonlinear differential equations, Numerical methods for initial value problems involving ordinary differential equations, exponential approximation
Description: Summary: In this paper, an exponential method is presented for the approximate solutions of the HIV infection model of \(\mathrm{CD}4^+\mathrm{T}\). The method is based on exponential polynomials and collocation points. This model problem corresponds to a system of nonlinear ordinary differential equations. Matrix relations are constructed for the exponential functions. By aid of these matrix relations and the collocation points, the proposed technique transforms the model problem into a system of nonlinear algebraic equations. By solving the system of the algebraic equations, the unknown coefficients are computed and thus the approximate solutions are obtained. The applications of the method for the considered problem are given and the comparisons are made with the other methods.
Document Type: Article
File Description: application/xml
DOI: 10.1142/s1793524516500364
Access URL: https://zbmath.org/6566900
Accession Number: edsair.c2b0b933574d..1cdfae004046bbddd1b94414b8d4bf59
Database: OpenAIRE
Description
Abstract:Summary: In this paper, an exponential method is presented for the approximate solutions of the HIV infection model of \(\mathrm{CD}4^+\mathrm{T}\). The method is based on exponential polynomials and collocation points. This model problem corresponds to a system of nonlinear ordinary differential equations. Matrix relations are constructed for the exponential functions. By aid of these matrix relations and the collocation points, the proposed technique transforms the model problem into a system of nonlinear algebraic equations. By solving the system of the algebraic equations, the unknown coefficients are computed and thus the approximate solutions are obtained. The applications of the method for the considered problem are given and the comparisons are made with the other methods.
DOI:10.1142/s1793524516500364