Numerical Solutions of Fractional Order Autocatalytic Chemical Reaction Model

Süleyman Demirel Üniversitesi Fen Bilimleri Enstitüsü Dergisi

Javad FARZݹ  Mevlüde YAKIT ONGUN²  Damla ARSLAN³ 

[1] Sahand University Of Technology, Department of Mathematics ,P.O. Box 51335-1996, Tabriz, Iran;Suleyman Demirel University, Department of Mathematics, 32260, Isparta, Turkey;Suleyman Demirel University, Graduate School of Natural and Applied Sciences, 32260, Isparta, Turkey;

关键词: Fractional differential equations;    Explicit and implicit methods;    Product integrations methods;    Nonstandard schemes;    Brusselator model;   

DOI  :  10.19113/sdufbed.24679

来源: DOAJ

【 摘 要 】

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.

【 授权许可】

Unknown