Efficient Laguerre and Hermite Spectral Methods for Odd-Order Differential Equations in Unbounded Domains
Year: 2020
Author: Cheng Xu, Xuhong Yu, Zhongqing Wang
Journal of Mathematical Study, Vol. 53 (2020), Iss. 2 : pp. 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.
You do not have full access to this article.
Already a Subscriber? Sign in as an individual or via your institution
Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jms.v53n2.20.04
Journal of Mathematical Study, Vol. 53 (2020), Iss. 2 : pp. 192–211
Published online: 2020-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 20
Keywords: Dual-Petrov-Galerkin spectral methods Laguerre functions Hermite functions Sobolev bi-orthogonal functions odd-order differential equations.