An O(h 6) quintic spline collocation method for fourth order two-point boundary value problems (Q1106634)
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scientific article; zbMATH DE number 4062504
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | An O(h 6) quintic spline collocation method for fourth order two-point boundary value problems |
scientific article; zbMATH DE number 4062504 |
Statements
An O(h 6) quintic spline collocation method for fourth order two-point boundary value problems (English)
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1988
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An O(h 6) collocation method based on quintic splines is developed and analyzed for general fourth-order linear two-point boundary value problems. The method determines a quintic spline approximation to the solution by forcing it to satisfy a high order perturbation of the original boundary value problem at the uniformly distributed nodal points of the splines. A variation of this method is formulated as a deferred correction method. The error analysis of the new method including the convergence theorems and its numerical behaviour is presented.
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collocation method
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quintic splines
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fourth-order linear two-point boundary value problems
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deferred correction method
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error analysis
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convergence
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