On Bernoulli boundary value problem

  • 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
Published
2007-12-06
Section
Articoli