Efficient Laguerre and Hermite Spectral Methods for Odd-Order Differential Equations in Unbounded Domains

Authors

  • Cheng Xu School of Science, University of Shanghai for Science and Technology, Shanghai 200093, China.
  • Xuhong Yu School of Science, University of Shanghai for Science and Technology, Shanghai, 200093, P.R.China
  • Zhongqing Wang School of Science, University of Shanghai for Science and Technology, Shanghai 200093, P. R. China

DOI:

https://doi.org/10.4208/jms.v53n2.20.04

Keywords:

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

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.

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Published

2020-05-21

Issue

Vol. 53 No. 2 (2020)

Section

Articles