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Volume 47 Number 5 Volume 47 Number 6 Volume 48 Number 1

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Research articles

ScienceAsia 47 (2021): 758-765 |doi: 10.2306/scienceasia1513-1874.2021.081

Analysis of the barycentric interpolation collocation scheme for the Burgers equation

Yudie Hu, Ao Peng, Liquan Chen, Yanlei Tong, Zhifeng Weng*

ABSTRACT:     In this paper, we propose the barycentric interpolation collocation method for the Burgers equation. Firstly, Burgers equation is transformed into the heat conduction equation by the Hopf-Cole transformation. Then we use the barycentric interpolation collocation method to discretize the equation in the time and space directions. The collocation scheme of the Burgers equation is constructed and the corresponding linear algebraic equations are derived. Moreover, the consistency analysis of barycentric Lagrange interpolation method is given. Numerical examples validate the efficiency of our scheme.

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a School of Mathematical Sciences, Huaqiao University, Quanzhou, Fujian 362021 China

* Corresponding author, E-mail: zfwmath@163.com

Received 3 Feb 2021, Accepted 29 May 2021