Analytical Study of Fractional Reaction-Diffusion Brusselator System

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Cankaya University Journal of Science and Engineering
Volume:19 Issue:2
Analytical Study of Fractional Reaction-Diffusion Brusselator System

Analytical Study of Fractional Reaction-Diffusion Brusselator System

Authors : Mohamed ZELLAL, Kacem BELGHABA

Pages : 113-123

View : 20 | Download : 9

Publication Date : 2022-11-01

Article Type : Research Paper

Abstract :In this paper, a time fractional reaction-diffusion Brusselator system with the Caputo type fractional derivatives, is solved by Laplace Adomian decomposition method insert ignore into journalissuearticles values(LADM);. Two numerical examples supported by graphics, tables, and discussion are provided, by comparing the numerical results obtained with the exact solution when α = β = 1, it is observed that they are in perfect agreement, this confirms the accuracy and smoothness of the current method.
Keywords : Reaction diffusion Brusselator system, Fractional derivative in Caputo sence, Laplace Adomian decomposition method, Approximate solutions

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