A spectral collocation method for solving initial value problems of first order ordinary differential equations (Q612891)
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scientific article; zbMATH DE number 5827359
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A spectral collocation method for solving initial value problems of first order ordinary differential equations |
scientific article; zbMATH DE number 5827359 |
Statements
A spectral collocation method for solving initial value problems of first order ordinary differential equations (English)
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16 December 2010
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The authors study a spectral collocation method for solving initial value problems of first order ordinary differential equations. They derive this new numerical process by approximating the exact solution directly by the Legendre-Gauss-Lobatto interpolation with \(N+1\) nodes. Later error estimates and a multistep version of the collocation method are presented. Finally the authors present some numerical results and compare the proposed new methods with several commonly used methods.
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initial value problems
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spectral collocation method
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first order
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Legendre-Gauss-Lobatto interpolation
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error estimates
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numerical results
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