Approximation of Fractional--Order Chemostat Model with Nonstandard Finite Difference Scheme | Zendy

M. Zeinadini | Zendy

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Approximation of Fractional--Order Chemostat Model with Nonstandard Finite Difference Scheme

Author(s) -

M. Zeinadini

Publication year - 2016

Publication title -

hacettepe journal of mathematics and statistics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.312

H-Index - 26

ISSN - 1303-5010

DOI - 10.15672/hjms.20174720337

Subject(s) - mathematics , chemostat , order (exchange) , scheme (mathematics) , finite difference scheme , mathematical analysis , genetics , finance , bacteria , economics , biology

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 (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.

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