Title of article :
Approximate Solution of Nonlinear Fractional Order Model of HIV Infection of CD4+T Via Differential Quadrature Radial Basis Functions Technique
Author/Authors :
chalambari, kokab islamic azad university, rasht branch - department of mathematics, Rasht, Iran , ebrahimi, hamideh islamic azad university, rasht branch - department of mathematics, Rasht, Iran , ayati, zeinab university of guilan - faculty of technology and engineering east of guilan - department of engineering sciences, Rudsar-Vajargah, Iran
Abstract :
In this research, differential quadrature radial basis functions Method is performed to a fractional order model of HIV infection of CD4+T. Here, Caputo fractional derivative is used and it is approximated by forward finite difference method. Results have been compared with the results of Laplace Adomian decomposition method (LADM), (Biazar Hosseini 2016, 2017a, 2017 b; Hosseini Biazar, 2012; Hosseini Daneshian, 2012; Moradweysi et al., 2018), Laplace Adomian decomposition method-pade (LADM-pade), Runge-Kutta, Variational iteration method (VIM) (Biazar, Sadri Ebrahimi , 2011; Biazar Ebrahimi, 2009) and Variational iteration method-pade (VIM-Pade) for α1 = α2 = α3 = 1 and residual functions have been plotted. In addition, approximate solutions of suggested method for different order of fractional derivatives have been shown.
Keywords :
Radial Basis Function Method(RBFM) , Differential Quadrature Radial Basis , Function Method(DQ , RBFM) , Caputo Fractional Derivative , Finite Difference Method , CD4+T cells
Journal title :
IJO: Iranian Journal of Optimization
Journal title :
IJO: Iranian Journal of Optimization