- Süleyman Demirel Üniversitesi Fen Bilimleri Enstitüsü Dergisi
- Vol: 21 Issue: 1
- Numerical Solutions of Fractional Order Autocatalytic Chemical Reaction Model
Numerical Solutions of Fractional Order Autocatalytic Chemical Reaction Model
Authors : Mevlüde Yakit Ongun, Damla Arslan, Javad Farzi
Pages : 165-172
Doi:10.19113/sdufbed.24679
View : 10 | Download : 3
Publication Date : 2017-04-15
Article Type : Other
Abstract :The main concerns of this paper is the study and the development of numerical methods for solving fractional order autocatalytic chemical reaction model problem. This is a nonlinear fractional order differential equation of fractional order , where . Three different (explicit and implicit) schemes based on multistep methods, nonstandard finite difference method and the product integration (PI) method are developed. The PI scheme enjoys the integral equation formulation of the model problem. The accuracy, efficiency and comparison of the developed methods are demonstrated in numerical results.Keywords : Fractional differential equations, Explicit and implicit methods, Product integrations methods, Nonstandard schemes, Brusselator model