Numerical Solutions of Fractional Order Autocatalytic Chemical Reaction Model

Authors : Mevlüde YAKIT ONGUN, Damla ARSLAN, Javad FARZİ

Pages : 165-172

Doi:10.19113/sdufbed.24679

View : 16 | Download : 12

Publication Date : 2017-04-15

Article Type : Research Paper

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 insert ignore into journalissuearticles values(explicit and implicit); schemes based on multistep methods, nonstandard finite difference method and the product integration insert ignore into journalissuearticles values(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