A collocation method for solving a class of singular nonlinear two-point boundary value problems (Q1372102)
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scientific article; zbMATH DE number 1084126
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A collocation method for solving a class of singular nonlinear two-point boundary value problems |
scientific article; zbMATH DE number 1084126 |
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A collocation method for solving a class of singular nonlinear two-point boundary value problems (English)
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6 November 1997
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A nonlinear two-point boundary value problem with a degenerate coefficient at the higher derivative is considered. An iterative algorithm for solving this problem is formulated. This method is basically a collocation method. It is proved that the iterative algorithm converges to a smooth approximate solution provided the boundary value problem is well posed and the algorithm is applied appropriately. It is shown that the method has fourth-order accuracy for sufficiently smooth solutions.
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convergence
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error bound
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nonlinear two-point boundary value problem
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degenerate coefficient
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iterative algorithm
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collocation method
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