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Research Article | Open Access

Numerical solution of a coupled Burgers' equation via barycentric interpolation collocation method

Xiumin Lyu1, Jin Li2( ), Wanjun Song2
School of Science, Shandong Jiaotong University, Jinan 250357, China
School of Science, Shandong Jianzhu University, Jinan 250101, China
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Abstract

In this study, the numerical solution of a two-dimensional coupled Burgers' equation is investigated by the barycentric interpolation collocation method. The spatial-temporal domain of the equation is made discrete by employing barycentric interpolation, and a corresponding differentiation matrix based on this interpolation technique is constructed. The effectiveness and high accuracy of the proposed method are demonstrated for solving the two-dimensional coupled Burgers' equation.

Keywords

numerical calculationbarycentric collocation methodBurgers' equationerror distribution

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Electronic Research Archive
Volume 33 Issue 3,
March 2025
Pages 1490-1509
DOI: 10.3934/era.2025070

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Cite this article:
Lyu X, Li J, Song W. Numerical solution of a coupled Burgers' equation via barycentric interpolation collocation method. Electronic Research Archive, 2025, 33(3): 1490-1509. https://doi.org/10.3934/era.2025070

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Received: 19 January 2025
Revised: 02 March 2025
Accepted: 06 March 2025
Published: 15 March 2025
©2025 the Author(s), licensee AIMS Press.

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