@article{Lyu2025, 
author = {Xiumin Lyu and Jin Li and Wanjun Song},
title = {Numerical solution of a coupled Burgers' equation via barycentric interpolation collocation method},
year = {2025},
journal = {Electronic Research Archive},
volume = {33},
number = {3},
pages = {1490-1509},
keywords = {numerical calculation, barycentric collocation method, Burgers' equation, error distribution},
url = {https://www.sciopen.com/article/10.3934/era.2025070},
doi = {10.3934/era.2025070},
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.}
}