Chebyshev matrix operator method for the solution of integrated forms of linear ordinary differential equations
type: Item
instance of: scholarly article
title: Chebyshev matrix operator method for the solution of integrated forms of linear ordinary differential equations
zbMATH Open document ID: 0873.65073
DOI: 10.1007/BF01182002
author: M. Hiegemann
published in: Acta Mechanica
publication date: 1997-10-12T00:00:00Z
review text: The article deals with a method to handle integrated forms of linear ordinary differential equations. The application of this method leads to linear algebraic systems which can be solved by iterative methods. Algorithms are based on the theory of Chebyshev expansions and matrix operator expressions. The application is demonstrated by two examples. Furthermore, the method is extended to linear parabolic problems. Finally, the application to eigenvalue problems is explained by means of the Orr-Sommerfeld equation.
Mathematics Subject Classification ID: 65L05
Mathematics Subject Classification ID: 35K15
Mathematics Subject Classification ID: 65L15
Mathematics Subject Classification ID: 34A30
Mathematics Subject Classification ID: 34L15
zbMATH DE Number: 1022260
zbMATH Keywords: integrated form
zbMATH Keywords: Chebyshev polynomials
zbMATH Keywords: Chebyshev expansions
zbMATH Keywords: spectral matrix
zbMATH Keywords: iterative methods
zbMATH Keywords: eigenvalue problem
zbMATH Keywords: Orr-Sommerfeld equation
reviewed by: S. Yanchuk
MaRDI profile type: Publication
cites work: Q3993205
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description: scientific article; zbMATH DE number 1022260