Solving spline-collocation approximations to nonlinear two-point boundary-value problems by a homotopy method (Q1097654)
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scientific article; zbMATH DE number 4035050
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Solving spline-collocation approximations to nonlinear two-point boundary-value problems by a homotopy method |
scientific article; zbMATH DE number 4035050 |
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Solving spline-collocation approximations to nonlinear two-point boundary-value problems by a homotopy method (English)
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1987
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A spline-collocation approximation to a class of nonlinear two-point boundary-value problems is considered. The resulting system of nonlinear equations is solved by a Chow-Yorke homotopy method. It could be shown that the algorithm is globally convergent. For the example of a fluid- dynamics boundary-value problem numerical results obtained with the software package HOMPACK are reported.
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numerical examples
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global convergence
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spline-collocation approximation
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Chow-Yorke homotopy method
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