TY - JOUR
T1 - Efficient Laguerre and Hermite Spectral Methods for Odd-Order Differential Equations in Unbounded Domains
AU - Xu , Cheng
AU - Yu , Xuhong
AU - Wang , Zhongqing
JO - Journal of Mathematical Study
VL - 2
SP - 192
EP - 211
PY - 2020
DA - 2020/05
SN - 53
DO - http://doi.org/10.4208/jms.v53n2.20.04
UR - https://global-sci.org/intro/article_detail/jms/16804.html
KW - Dual-Petrov-Galerkin spectral methods, Laguerre functions, Hermite functions, Sobolev bi-orthogonal functions, odd-order differential equations.
AB - <p style="text-align: justify;">Laguerre dual-Petrov-Galerkin spectral methods and Hermite Galerkin spectral methods for solving odd-order differential equations in unbounded domains are
proposed. Some Sobolev bi-orthogonal basis functions are constructed which lead to
the diagonalization of discrete systems. Numerical results demonstrate the effectiveness of the suggested approaches.</p>