Approximate solution of nonlinear fractional order model of HIV infection of CD4+T via Differential Quadrature Radial Basis Functions technique
محورهای موضوعی : Numerical Analysis
کوکب چلمبری
1
(
گروه ریاضی، واحد رشت، دانشگاه آزاد اسلامی، رشت، ایران
)
حمیده ابراهیمی
2
(
گروه ریاضی کاربردی، دانشکده علوم پایه، واحد رشت، دانشگاه آزاد اسلامی، رشت، ایران
)
زینب آیاتی
3
(
گروه علوم مهندسی، دانشکده فنی و مهندسی شرق گیلان، دانشگاه گیلان، رودسر-واجارگاه، ایران
)
کلید واژه: finite difference method, Caputo fractional derivative, Radial Basis Function Method (RBFM), Differential Quadrature Radial Basis Function Method, (DQ-RBFM), CD4+Tcells,
چکیده مقاله :
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.
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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