On Numerov's method for a class of strongly nonlinear two-point boundary value problems (Q610779)
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scientific article; zbMATH DE number 5825498
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On Numerov's method for a class of strongly nonlinear two-point boundary value problems |
scientific article; zbMATH DE number 5825498 |
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On Numerov's method for a class of strongly nonlinear two-point boundary value problems (English)
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10 December 2010
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This paper deals with a numerical treatment for a class of strongly nonlinear two-point BVPs by Numerov's method. The author generalizes the method of upper and lower solutions to a coupled system of a nonlinear algebraic equation and a nonlinear functional equation and presents a linear monotone iterative algorithm for the solutions of the resulting discrete problems. Some numerical results are presented.
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strongly nonlinear two-point boundary value problem
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Numerov's method
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fourth-order accuracy
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monotone iterations
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upper and lower solutions
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