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Volume 53, Issue 2
Efficient Laguerre and Hermite Spectral Methods for Odd-Order Differential Equations in Unbounded Domains

Cheng Xu, Xuhong Yu & Zhongqing Wang

DOI: 10.4208/jms.v53n2.20.04

J. Math. Study, 53 (2020), pp. 192-211.

Published online: 2020-05

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  • 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.

  • Keywords

Dual-Petrov-Galerkin spectral methods, Laguerre functions, Hermite functions, Sobolev bi-orthogonal functions, odd-order differential equations.

  • AMS Subject Headings

65N35, 33C45, 35J58

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address

qfkxu@foxmail.com (Cheng Xu)

xhyu@usst.edu.cn (Xuhong Yu)

zqwang@usst.edu.cn (Zhongqing Wang)

  • BibTex
  • RIS
  • TXT
@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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