On the numerical solution of some nonlinear and nonlocal BVPs (Comunicazione a convegno)

Type
Label
  • On the numerical solution of some nonlinear and nonlocal BVPs (Comunicazione a convegno) (literal)
Anno
  • 2013-01-01T00:00:00+01:00 (literal)
Alternative label
  • W. Themistoclakis, A. Vecchio (2013)
    On the numerical solution of some nonlinear and nonlocal BVPs
    in NUMTA 2013 - Numerical Computations: Theory and Algorithms, Eurolido Hotel, Falerna (CZ) Italy, 17-23 giugno 2013
    (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#autori
  • W. Themistoclakis, A. Vecchio (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#affiliazioni
  • CNR - IAC Istituto per le Applicazioni del Calcolo \"Mauro Picone\", Via P. Castellino, 111, 80131 Napoli, Italy (literal)
Titolo
  • On the numerical solution of some nonlinear and nonlocal BVPs (literal)
Abstract
  • The modeling of various physical questions in plasma kinetics and heat conduction lead to nonlinear boundary value problems involving a nonlocal operator, such as the integral of the unknown solution, which depends on the entire function in the domain rather than at a single point. This talk concerns a particular nonlocal boundary value problem recently studied in [1] by J.R.Cannon and D.J.Galiffa, who proposed a numerical method based on an interval-halving scheme. Starting from their results, we provide a more general convergence theorem and suggest a different iterative procedure to handle the nonlinearity of the discretized problem. References: [1] J.R.Cannon, D.J.Galiffa (2011) On a numerical method for a homogeneous, nonlinear, nonlocal, elliptic boundary problem, Nonlinear Analysis, Vol. 74, pp. 1702-1713. (literal)
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