On Bernoulli boundary value problem

On Bernoulli boundary value problem

We give a constructive proof of the existence and uniqueness of the solution, under certain conditions, by Picard’s iteration. Moreover Newton’s iteration method is considered for the numerical computation of the solution.

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Bibliographische Detailangaben
Veröffentlicht in:Matematiche 2007-12, Vol.62 (2), p.163-173
Hauptverfasser: Francesco A. Costabile, Annarosa Serpe
Format: Artikel
Sprache:eng
Schlagworte:
Bernoulli
Green function
Newton iteration
Picard's iteration
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Zusammenfassung:We give a constructive proof of the existence and uniqueness of the solution, under certain conditions, by Picard’s iteration. Moreover Newton’s iteration method is considered for the numerical computation of the solution.
ISSN:0373-3505
2037-5298