TY - JOUR
T1 - Diagonalized Chebyshev Rational Spectral Methods for Second-Order Elliptic Problems on Unbounded Domains
AU - Yanmin Ren, Xuhong Yu & Zhongqing Wang
JO - Numerical Mathematics: Theory, Methods and Applications
VL - 1
SP - 265
EP - 284
PY - 2018
DA - 2018/09
SN - 12
DO - http://doi.org/10.4208/nmtma.OA-2018-0022
UR - https://global-sci.org/intro/article_detail/nmtma/12700.html
KW - 
AB - <p style="text-align: justify;">Diagonalized Chebyshev rational spectral methods for solving second-order elliptic problems on the half/whole line are proposed. Some Sobolev bi-orthogonal rational 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-like Chebyshev rational series. Numerical results demonstrate the effectiveness of the suggested approaches.</p>