@article{article_334426, title={Numerical Solutions of Fractional Order Autocatalytic Chemical Reaction Model}, journal={Süleyman Demirel Üniversitesi Fen Bilimleri Enstitüsü Dergisi}, volume={21}, pages={165–172}, year={2017}, DOI={10.19113/sdufbed.24679}, author={Yakıt Ongun, Mevlüde and Arslan, Damla and Farzi, Javad}, keywords={Fractional differential equations,Explicit and implicit methods; Product integrations methods; Nonstandard schemes; Brusselator model}, abstract={<p>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. </p>}, number={1}, publisher={Süleyman Demirel University}