@article{Li2023, 
author = {Jin Li},
title = {Barycentric rational collocation method for semi-infinite domain problems},
year = {2023},
journal = {AIMS Mathematics},
volume = {8},
number = {4},
pages = {8756-8771},
keywords = {linear barycentric rational interpolation, collocation method, semi-infinite domain problem, truncation method, barycentric interpolation method},
url = {https://www.sciopen.com/article/10.3934/math.2023439},
doi = {10.3934/math.2023439},
abstract = {The barycentric rational collocation method for solving semi-infinite domain problems is presented. Following the barycentric interpolation method of rational polynomial and Chebyshev polynomial, matrix equation is obtained from discrete semi-infinite domain problem. Truncation method and transformation method are presented to solve linear and nonlinear differential equation defined on the semi-infinite domain problems. At last, three numerical examples are presented to valid our theoretical analysis.}
}