Approximate solution of nonlinear fractional order model of HIV infection of CD4+T via Differential Quadrature Radial Basis Functions technique

Iranian Journal of Optimization

مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 07 دی 1399  

نوع مقاله: Research Paper

نویسندگان

Kokab Chalambari¹؛ Hamideh Ebrahimi ²؛ zainab ayati³

¹Department of Mathematics, Rasht Branch, Islamic Azad University, Rasht, Iran, P. O. Box 41335-3516, P. C. 4147654919

²Department of Applied Mathematics, Basic Science Faculty, Islamic Azad University, Rasht Branch, Rasht, Iran

³4Department of Engineering sciences, Faculty of Technology and Engineering East of Guilan, University of Guilan, P.C. 44891-63157, Rudsar-Vajargah, Iran

چکیده

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.

کلیدواژه‌ها

Radial Basis Function Method (RBFM)؛ Differential Quadrature Radial Basis Function Method؛ (DQ-RBFM)؛ Caputo Fractional Derivative؛ Finite Difference Method؛ CD4+Tcells