Approximation of fractional-order Chemostat model with nonstandard finite difference scheme

Authors : M Zeinadini, M NAMJOO

Pages : 469-482

View : 19 | Download : 8

Publication Date : 2017-06-01

Article Type : Research Paper

Abstract :In this paper, the fractional-order form of three dimensional chemostat model with variable yields is introduced. The stability analysis of this fractional system is discussed in detail. In order to study the dynamic behaviours of mentioned fractional system, the well known nonstandard finite difference insert ignore into journalissuearticles values(NSFD); scheme is implemented. The proposed NSFD scheme is compared with the forward Euler and fourth order Runge-Kutta methods. Numerical results show that the NSFD approach is easy and accurate when applied to fractional-order chemostat model.
Keywords : Chemostat model, Fractional order differential equation, Stability, Nonstandard finite difference scheme