@Article{JMS-53-2, author = {Xu, Cheng and Yu, Xuhong and Zhongqing, Wang}, 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 = {https://global-sci.com/article/87697/efficient-laguerre-and-hermite-spectral-methods-for-odd-order-differential-equations-in-unbounded-domains} }