A numerical method for a class of non-linear integro-differential equations on the half line (Articolo in rivista)

Type
Label
  • A numerical method for a class of non-linear integro-differential equations on the half line (Articolo in rivista) (literal)
Anno
  • 2012-01-01T00:00:00+01:00 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#doi
  • 10.1016/j.camwa.2012.06.007 (literal)
Alternative label
  • Basile, M.; Messina, E.; Themistoclakis, W.; Vecchio, A. (2012)
    A numerical method for a class of non-linear integro-differential equations on the half line
    in Computers & mathematics with applications (1987)
    (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#autori
  • Basile, M.; Messina, E.; Themistoclakis, W.; Vecchio, A. (literal)
Pagina inizio
  • 2354 (literal)
Pagina fine
  • 2363 (literal)
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  • 64 (literal)
Rivista
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#numeroFascicolo
  • 7 (literal)
Note
  • ISI Web of Science (WOS) (literal)
  • 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
  • A numerical method for a class of non-linear integro-differential equations on the half line (literal)
Abstract
  • We design and analyse a numerical method for the solution of a particular second order integro-differential boundary value problem on the semiaxis, which arises in the study of the kinetic theory of dusty plasmas. The method we propose represents a first insight into the numerical solution of more complicated problems and consists of a discretization of the differential and integral terms and of an iteration process to solve the resulting non-linear system. Under suitable hypotheses we prove the convergence. We will show the characteristics of the method by means of some numerical simulations. (literal)
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