Chebyshev matrix operator method for the solution of integrated forms of linear ordinary differential equations (Q1357035)
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scientific article; zbMATH DE number 1022260
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Chebyshev matrix operator method for the solution of integrated forms of linear ordinary differential equations |
scientific article; zbMATH DE number 1022260 |
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Chebyshev matrix operator method for the solution of integrated forms of linear ordinary differential equations (English)
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12 October 1997
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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.
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integrated form
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Chebyshev polynomials
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Chebyshev expansions
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spectral matrix
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iterative methods
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eigenvalue problem
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Orr-Sommerfeld equation
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