Analytical Study of Fractional Reaction-Diffusion Brusselator System

Yıl 2022, Cilt: 19 Sayı: 2, 113 - 123, 01.11.2022

Mohamed Zellal Kacem Belghaba

Öz

In this paper, a time fractional reaction-diffusion Brusselator system with the Caputo type fractional derivatives, is solved by Laplace Adomian decomposition method (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.

Anahtar Kelimeler

Reaction-diffusion Brusselator system, Fractional derivative in Caputo sence, Laplace Adomian decomposition method, Approximate solutions

Teşekkür

The authors are, sincerely, very grateful to the editor and the entire staff of the journal, best wishes for your noble mission.

Kaynakça

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