A coupled pseudospectral-differential quadrature method for a class of hyperbolic telegraph equations
type: Item
instance of: scholarly article
title: A coupled pseudospectral-differential quadrature method for a class of hyperbolic telegraph equations
zbMATH Open document ID: 1427.65305
DOI: 10.1155/2017/9013826
author: Fangzong Wang
author: Yong Wang
published in: Mathematical Problems in Engineering
publication date: 2018-11-05T00:00:00Z
review text: Summary: Pseudospectral methods and differential quadrature methods are two kinds of important meshless methods, both of which have been widely used in scientific and engineering calculation. The Lagrange interpolation polynomials are used as the trial function of the two methods, and the same distribution of grid points is used. This paper points out that the differential quadrature method is a special form of the pseudospectral method. On the basis of the above, a coupled pseudospectral-differential quadrature method (PSDQM) is proposed to solve a class of hyperbolic telegraph equations. Theoretical analysis and numerical tests show that the new method has spectral precision convergence in spatial domain and has A-stability in time domain. And it is suitable for solving multidimensional telegraph equations.
Mathematics Subject Classification ID: 65M70
Mathematics Subject Classification ID: 65D25
zbMATH DE Number: 6972635
describes a project that uses: Matlab
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2017/9013826
OpenAlex ID: W2781163614
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description: scientific article; zbMATH DE number 6972635