yakit ongun, mevlüde suleyman demirel university - department of mathematics, Isparta, Turkey , arslan, damla suleyman demirel university - graduate school of natural and applied sciences, Isparta, Turkey , farzi, javad sahand university of technology - department of mathematics, Tabriz, Iran

Numerical Solutions of Fractional Order Autocatalytic Chemical Reaction Model

25585

The main concern of this paper is the study and the development ofnumerical methods for solving fractional order autocatalytic chemical reactionmodel problem. This is a nonlinear fractional order differential equation offractional order α , where 0 α 1. Three different (explicit and implicit)schemes based on multistep methods, nonstandard finite difference method andthe product integration (PI) method are developed. The first two schemes arebased on differential equation model and the PI scheme is constructed by theintegral equation formulation of the model problem. The accuracy, efficiencyand some numerical comparisons of the developed methods are demonstratedin numerical results.

165

Fractional differential equations , Explicit and implicit methods , Product integrations methods , Nonstandard schemes , Brusselator model

Journal Of Natural an‎d Applied Sciences

172