Convergence of a numerical method for the solution of non-standard integro-differential boundary value problems (Articolo in rivista)

Type
Label
  • Convergence of a numerical method for the solution of non-standard integro-differential boundary value problems (Articolo in rivista) (literal)
Anno
  • 2013-01-01T00:00:00+01:00 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#doi
  • 10.1016/j.matcom.2013.11.003 (literal)
Alternative label
  • M. Basile, E. Messina, W. Themistoclakis, A. Vecchio (2013)
    Convergence of a numerical method for the solution of non-standard integro-differential boundary value problems
    in Mathematics and computers in simulation (Print)
    (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#autori
  • M. Basile, E. Messina, W. Themistoclakis, A. Vecchio (literal)
Rivista
Note
  • Scopu (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#affiliazioni
  • Basile; Messina, Dipartimento di Matematica e Applicazioni, Università di Napoli Federico II, Via Cintia, I-80126 Napoli, Italy Themistoclakis; Vecchio, Istituto per le Applicazioni Del Calcolo M.Picone, Sede di Napoli - CNR, Via P. Castellino, 111, 80131 Napoli, Italy (literal)
Titolo
  • Convergence of a numerical method for the solution of non-standard integro-differential boundary value problems (literal)
Abstract
  • In a recent paper we proposed a numerical method to solve a non-standard non-linear second order integro-differential boundary value problem. Here, we answer two questions remained open: we state the order of convergence of this method and provide some sufficient conditions for the uniqueness of the solution both of the discrete and the continuous problem. Finally, we compare the performances of the method for different choices of the iteration procedure to solve the non-standard nonlinearity. (literal)
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