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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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Název: An exponential collocation method for the solutions of the HIV infection model of \(\mathrm{CD}4^+\mathrm{T}\) cells
Autoři: Yüzbaşı, Şuayip
Informace o vydavateli: World Scientific, Singapore
Témata: 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
Popis: 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.
Druh dokumentu: Article
Popis souboru: application/xml
DOI: 10.1142/s1793524516500364
Přístupová URL adresa: https://zbmath.org/6566900
Přístupové číslo: edsair.c2b0b933574d..1cdfae004046bbddd1b94414b8d4bf59
Databáze: OpenAIRE
Popis
Abstrakt: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