Dergiler / Hacettepe Journal of Mathematics and Statistics / 2017 / Cilt: 46 - Sayı: 3

Approximation of fractional order Chemostat model with nonstandard nite di erence scheme

Approximation of fractional order Chemostat model with nonstandard nite di erence scheme

M. ZEİNADİNİ, M. NAMJOO

Sayfa
469–482
DOI
—

Abstract

In this paper, the fractional-order form of three dimensional chemostatmodel with variable yields is introduced. The stability analysis of thisfractional system is discussed in detail. In order to study the dynamicbehaviours of mentioned fractional system, the well known nonstandardnite dierence (NSFD) scheme is implemented. The proposed NSFDscheme is compared with the forward Euler and fourth order RungeKuttamethods. Numerical results show that the NSFD approach iseasy and accurate when applied to fractional-order chemostat model.