Journal of Advances in Applied Mathematics

Download PDF (753.5 KB) PP. 98 - 106 Pub. Date: April 12, 2016

DOI: 10.22606/jaam.2016.12002

• M. Tarık Atay
  Department of Mechanical Engineering, Abdullah Gül University, 38080, Kayseri/Turkey
• Musa Basbük
  Department of Mathematics, Nevsehir Haci Bektas Veli University, 50300, Nevsehir/Turkey
• Aytekin Eryılmaz^*
  Department of Mathematics, Nevsehir Haci Bektas Veli University, 50300, Nevsehir/Turkey

In this paper, we investigated a numeric integration based on Magnus series expansion namely Magnus Series Expansion Method (NMG) for nonlinear Human T-Cell Lymphotropic Virus I (HTLV-I) infection of CD4⁺ T-cells model. Fourth order Magnus series expansion method (NMG4) and explicit Runge-Kutta (RK45) are used to obtain numerical solutions of HTLV-I infection of CD4⁺ T-cells model. The results obtained by NMG4 and RK45 are compared.

Spline collocation method, Thin film flow, Third grade fluid, Inclined plane, Nonlinear boundary value problem

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