Evaluation of Chebyshev pseudospectral methods for third order differential equations (Q1385136)
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scientific article; zbMATH DE number 1146020
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Evaluation of Chebyshev pseudospectral methods for third order differential equations |
scientific article; zbMATH DE number 1146020 |
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Evaluation of Chebyshev pseudospectral methods for third order differential equations (English)
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21 September 1998
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The problem of very large condition numbers of the differentiation matrix of standard Chebyshev collocation for third-order problems with Neumann boundary conditions is addressed. The authors show by proper mapping techniques and implementation of the boundary conditions that a condition number of well below \({\mathcal O} ({\mathcal N}^4)\) can be achieved. Numerical tests are provided to verify the given analysis.
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Chebyshev pseudospectral methods
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third-order differential equations
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numerical tests
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very large condition numbers
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differentiation matrix
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Chebyshev collocation
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Neumann boundary conditions
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