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Research Article | Open Access

Solving the reaction-diffusion Brusselator system using Generalized Finite Difference Method

Ángel García1, Francisco Ureña1( ), Antonio M. Vargas2
Departamento de Construcción y Fabricación, UNED, Madrid, Spain
Departamento de Matemáticas Fundamentales, UNED, Madrid, Spain
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Abstract

In this paper, we investigate the numerical solution of the Brusselator system using a meshless method. A numerical scheme is derived employing the formulas of the Generalized Finite Difference Method, and the convergence of the approximate solution to the exact solution is examined. In order to demonstrate the applicability and accuracy of the method, several examples are proposed.

Keywords

BrusselatorGeneralized Finite Differencesmeshless methodconvergence
CLC number: 35K57, 65N06

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AIMS Mathematics
Volume 9 Issue 5,
May 2024
Pages 13211-13223
DOI: 10.3934/math.2024644

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Cite this article:
García Á, Ureña F, Vargas AM. Solving the reaction-diffusion Brusselator system using Generalized Finite Difference Method. AIMS Mathematics, 2024, 9(5): 13211-13223. https://doi.org/10.3934/math.2024644

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Received: 14 December 2023
Revised: 25 March 2024
Accepted: 29 March 2024
Published: 15 May 2024
©2024 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)