@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} }