@Article{JMS-51-2,
author = {Yu, Xuhong and Zhao, Yunge and Zhongqing, Wang},
title = {A Diagonalized Legendre Rational Spectral Method for Problems on the Whole Line},
journal = {Journal of Mathematical Study},
year = {2018},
volume = {51},
number = {2},
pages = {196--213},
abstract = {<p style="text-align: justify;">A diagonalized Legendre rational spectral method for solving second and
fourth order differential equations are proposed. Some Fourier-like Sobolev orthogonal
basis functions are constructed which lead to the diagonalization of discrete systems.
Accordingly, both the exact solutions and the approximate solutions can be represented
as infinite and truncated Fourier series. Numerical results demonstrate the
effectiveness of this approach.</p>},
issn = {2617-8702},
doi = {https://doi.org/10.4208/jms.v51n2.18.05},
url = {https://global-sci.com/article/87748/a-diagonalized-legendre-rational-spectral-method-for-problems-on-the-whole-line}
}