@Article{NMTMA-16-2,
author = {Gu, Dong-Qin and Zhong-Qing, Wang and Zhang, Chao},
title = {New Rational Interpolation Basis Functions on the Unbounded Intervals and Their Applications},
journal = {Numerical Mathematics: Theory, Methods and Applications},
year = {2023},
volume = {16},
number = {2},
pages = {453--488},
abstract = {<p style="text-align: justify;">Based on the rational system of Legendre rational functions, we construct
two set of new interpolation basis functions on the unbounded intervals. Their explicit expressions are derived, and fast and stable algorithms are provided for computing the new basis functions. As applications, new rational collocation methods
based on these new basis functions are proposed for solving various second-order
differential equations on the unbounded domains. Numerical experiments illustrate
that our new methods are more effective and stable than the existing collocation
methods.</p>},
issn = {2079-7338},
doi = {https://doi.org/10.4208/nmtma.OA-2022-0109},
url = {https://global-sci.com/article/90215/new-rational-interpolation-basis-functions-on-the-unbounded-intervals-and-their-applications}
}