Journal of Mathematics (Jan 2022)

Barycentric Rational Collocation Method for Burgers’ Equation

  • Qingli Zhao,
  • Ruiwen Wang,
  • Zhaoqing Wang,
  • Xiaoping Zhang

DOI
https://doi.org/10.1155/2022/2177998
Journal volume & issue
Vol. 2022

Abstract

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In this article, barycentric rational collocation method is introduced to solve Burgers’ equation. The algebraic equations of the barycentric rational collocation method are presented. Numerical analysis and error estimates are established. With the help of the barycentric rational interpolation theory, the convergence rates of the barycentric rational collocation method for Burgers’ equation are proved. Numerical experiments are carried out to validate the convergence rates and show the efficiency.