Homotopy Perturbation Method for Solving Human T-Cell Lymphotropic Virus I(HTLV-I) Infection of Cd4+ T-Cells Model

Mehmet Merdan

doi:10.3390/mca14020085

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Article

1 August 2009

Homotopy Perturbation Method for Solving Human T-Cell Lymphotropic Virus I(HTLV-I) Infection of Cd4+ T-Cells Model

Karadeniz Technical University, Engineering Faculty of Gümüshane Civil Engineering, 29000, Gümüshane, Turkey

Math. Comput. Appl.2009, 14(2), 85-96;https://doi.org/10.3390/mca14020085

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Abstract

In this article, homotopy perturbation method is implemented to give approximate and analytical solutions of nonlinear ordinary differential equation systems such as human Tcell lymphotropic virus I (HTLV-I) infection of CD4+ T-cells model. The proposed scheme is based on homotopy perturbation method (HPM), Laplace transform and Padé approximants. The results to get the homotopy perturbation method (HPM) is applied Padé approximants. Our proposed approach showed results to analytical solutions of nonlinear ordinary differential equation systems. Some plots are presented to show the reliability and simplicity of the methods.

Keywords:

Padé approximants; Homotopy perturbation method; human T-cell lymphotropic virus I (HTLV-I) infection of CD4+ T-cells model

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