On Bernoulli boundary value problem

Authors

  • Francesco A. Costabile University of Calabria
  • Annarosa Serpe University of Calabria

Keywords:

Bernoulli, Green function, Picard's iteration, Newton iteration

Abstract

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.

Author Biographies

  • Francesco A. Costabile, University of Calabria
    Department of Mathematics, via P. Bucci - Cubo 30/A - 87036 Rende(CS) Italy
  • Annarosa Serpe, University of Calabria
    Department of Mathematics, via P. Bucci - Cubo 30/A - 87036 Rende(CS) Italy

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Published

2007-12-06

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Section

Articoli