Efficient Laguerre and Hermite Spectral Methods for Odd-Order Differential Equations in Unbounded Domains
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@Article{JMS-53-192,
author = {Xu , ChengYu , Xuhong and Wang , Zhongqing},
title = {Efficient Laguerre and Hermite Spectral Methods for Odd-Order Differential Equations in Unbounded Domains},
journal = {Journal of Mathematical Study},
year = {2020},
volume = {53},
number = {2},
pages = {192--211},
abstract = {
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.
}, issn = {2617-8702}, doi = {https://doi.org/10.4208/jms.v53n2.20.04}, url = {http://global-sci.org/intro/article_detail/jms/16804.html} }
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 -
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.
Xu , ChengYu , Xuhong and Wang , Zhongqing. (2020). Efficient Laguerre and Hermite Spectral Methods for Odd-Order Differential Equations in Unbounded Domains.
Journal of Mathematical Study. 53 (2).
192-211.
doi:10.4208/jms.v53n2.20.04
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