Approximate solution of nonlinear fractional order model of HIV infection of CD4+T via Differential Quadrature Radial Basis Functions technique
Subject Areas : Numerical AnalysisKokab Chalambari 1 , Hamideh Ebrahimi 2 , Zeinab Ayati 3
1 - Department of Mathematics, Rasht Branch, Islamic Azad University, Rasht, Iran
2 - Department of Mathematics, Rasht Branch, Islamic Azad University, Rasht, Iran
3 - Department of Engineering sciences, Faculty of Technology and Engineering East of Guilan, University of Guilan, Rudsar- Vajargah, Iran
Keywords: finite difference method, Caputo fractional derivative, Radial Basis Function Method (RBFM), Differential Quadrature Radial Basis Function Method, (DQ-RBFM), CD4+Tcells,
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), Laplace Adomian decomposition method-pade (LADM-pade), Runge-Kutta, Variational iteration method (VIM) and Variational iteration method-pade (VIM-Pade) for α_1=α_2=α_3 and residual functions have been plotted. And also approximate solutions of suggested method for different order of fractional derivatives have been shown.
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