Barycentric Rational Collocation Method for Burgers’ Equation

Autor: Qingli Zhao, Ruiwen Wang, Zhaoqing Wang, Xiaoping Zhang
Jazyk: angličtina
Rok vydání: 2022
Předmět:
Zdroj: Journal of Mathematics, Vol 2022 (2022)
Druh dokumentu: article
ISSN: 2314-4785
DOI: 10.1155/2022/2177998
Popis: 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.
Databáze: Directory of Open Access Journals