THERMAL SCIENCE

International Scientific Journal

Khalid K. Ali

,

Mohamed S. Mohamed

,

Mahamed A. Shaalan

ANALYTICAL AND NUMERICAL TECHNIQUES FOR SOLVING THE BELOUSOV-ZHABOTINSKII DIFFUSION MODEL: A CHEMICAL APPLICATION

ABSTRACT
The primary focus of this paper is on finding an analytical solution for the Belousov-Zhabotinskii system. The Belousov-Zhabotinskii reaction is a chemical reaction that exhibits oscillating behavior in the concentrations of its reactants and products. The reaction is named after Boris Belousov and Anatol Zhabotinsky, who discovered it in the 1950. The Belousov-Zhabotinskii reaction was first described by a system of equations in 1983 [1]. It serves as a model for numerous, more complex biological and biochemical processes. In this work, we present the soliton solution for the Belousov-Zhabotinskii system using the (G′/G)-expansion technique. We also study the solutions numerically using the cubic B-spline method. Finally, 2-D and 3-D graphs are used to visualize the obtained soliton solutions.
KEYWORDS
Belousov-Zhabotinskii system, (G′/G)-expansion technique, Soliton solutions, cubic B-spline method
PAPER SUBMITTED: 2024-05-19
PAPER REVISED: 2024-09-20
PAPER ACCEPTED: 2024-10-17
PUBLISHED ONLINE: 2025-01-25
DOI REFERENCE: https://doi.org/10.2298/TSCI2406943A
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2024, VOLUME 28, ISSUE Issue 6, PAGES [4943 - 4954]
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Analytical and numerical techniques for solving the Belousov-Zhabotinskii diffusion model: A chemical application

2025 Society of Thermal Engineers of Serbia. Published by the Vinča Institute of Nuclear Sciences, National Institute of the Republic of Serbia, Belgrade, Serbia. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International licence