An exponential collocation method for the solutions of the HIV infection model of CD4+T cells

DOI10.1142/S1793524516500364zbMath1338.92066OpenAlexW2235239065MaRDI QIDQ2799327

Şuayip Yüzbaşı

Publication date: 8 April 2016

Published in: International Journal of Biomathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1793524516500364

zbMATH Keywords

exponential collocation methodcollocation pointsexponential approximationsystems of nonlinear differential equationsHIV infection model of \(\mathrm{CD}4^+\mathrm{T}\) cells

Mathematics Subject Classification ID

Numerical methods for initial value problems involving ordinary differential equations (65L05) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Numerical methods for differential-algebraic equations (65L80) Medical epidemiology (92C60)

Related Items (14)

Estimating the approximate analytical solution of HIV viral dynamic model by using homotopy analysis method ⋮ The maximum amplification of perturbations in ecological systems ⋮ Bessel-quasilinearization technique to solve the fractional-order HIV-1 infection of CD\(4^+\) T-cells considering the impact of antiviral drug treatment ⋮ A numerical method for the solutions of the HIV infection model of CD4+T-cells ⋮ A numerical method based on hybrid functions for solving a fractional model of HIV infection of CD\(4^+\) T cells ⋮ System analysis of HIV infection model with \(CD 4^+T\) under non-singular kernel derivative ⋮ Simulations of a logistic-type model with delays for Chagas disease with insecticide spraying ⋮ Shifted Lagrangian Jacobi collocation scheme for numerical solution of a model of HIV infection ⋮ Shifted Boubaker Lagrangian approach for solving biological systems ⋮ Quasilinearization-Lagrangian method to solve the HIV infection model of CD4\(^+\)T cells ⋮ Exponential spline for the numerical solutions of linear Fredholm integro-differential equations ⋮ On the solution of the Human Immunodeficiency Virus (HIV) infection model using spectral collocation method ⋮ Unnamed Item ⋮ Exponential spline method for approximation solution of Fredholm integro-differential equation

Cites Work

• The Laplace Adomian decomposition method for solving a model for HIV infection of \(CD4^{+}T\) cells
• Numerical treatment of the model for HIV infection of CD4\(^{+}\)T cells by using multistep Laplace Adomian decomposition method
• Mathematical analysis of the global dynamics of a model for HIV infection of CD4\(^{+}\) T cells
• Reachability analysis of rational eigenvalue linear systems
• Generalized exponential and logarithmic polynomials with statistical applications
• Unnamed Item

This page was built for publication: An exponential collocation method for the solutions of the HIV infection model of CD4+T cells