The Riccati equation \(y'=x+y^2\) for the Airy function (Q1420644)
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scientific article; zbMATH DE number 2035917
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The Riccati equation \(y'=x+y^2\) for the Airy function |
scientific article; zbMATH DE number 2035917 |
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The Riccati equation \(y'=x+y^2\) for the Airy function (English)
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2 February 2004
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An expansion in a series of limited on the whole axis solutions of Riccati equation is obtained. The terms of the series are limited solutions of linear equations. The series is absolutely and uniformly convergent on the whole axis (convergence of Newtonian type). An absolutely and uniform convergent iteration process can be constructed.
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Riccati equation
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convergent iteration method
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0.7878541946411133
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0.7873263955116272
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