An Efficient Nonstandard Finite Difference Scheme for Chaotic Fractional-Order Chen System
نویسندگان
چکیده
منابع مشابه
A nonstandard finite difference scheme for solving fractional-order model of HIV-1 infection of CD4^{+} t-cells
In this paper, we introduce fractional-order into a model of HIV-1 infection of CD4^+ T--cells. We study the effect of the changing the average number of viral particles $N$ with different sets of initial conditions on the dynamics of the presented model. The nonstandard finite difference (NSFD) scheme is implemented to study the dynamic behaviors in the fractional--order HIV-1 ...
متن کاملa nonstandard finite difference scheme for solving fractional-order model of hiv-1 infection of cd4^+ t-cells
in this paper, we introduce fractional-order into a model of hiv-1 infection of cd4^+ t--cells. we study the effect of the changing the average number of viral particles $n$ with different sets of initial conditions on the dynamics of the presented model. the nonstandard finite difference (nsfd) scheme is implemented to study the dynamic behaviors in the fractional--order hiv-1i...
متن کاملDynamic Analysis of the Fractional-order Chen Chaotic System
In this paper, the existence and uniqueness of solution for fractional order Chen chaotic system is investigated theoretically based on the qualitative theory. The stability of the corresponding equilibria is also investigated similar to the integer order counterpart. According to the obtained results, the bifurcation conditions of these two systems are significantly different. Numerical simula...
متن کاملNonstandard finite difference schemes for differential equations
In this paper, the reorganization of the denominator of the discrete derivative and nonlocal approximation of nonlinear terms are used in the design of nonstandard finite difference schemes (NSFDs). Numerical examples confirming then efficiency of schemes, for some differential equations are provided. In order to illustrate the accuracy of the new NSFDs, the numerical results are compared with ...
متن کاملA new total variation diminishing implicit nonstandard finite difference scheme for conservation laws
In this paper, a new implicit nonstandard finite difference scheme for conservation laws, which preserving the property of TVD (total variation diminishing) of the solution, is proposed. This scheme is derived by using nonlocal approximation for nonlinear terms of partial differential equation. Schemes preserving the essential physical property of TVD are of great importance in practice. Such s...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: IEEE Access
سال: 2020
ISSN: 2169-3536
DOI: 10.1109/access.2020.2996271