Estudio numérico del control exacto desde el contorno de la ecuación Korteweg-de Vries lineal

Author (s): Capella-Kort, A. and Sarrate, J.
Journal: Revista Internacional de Métodos Numéricos para Cálculo y Diseño en Ingeniería

Volume: 19, Issue 2
Pages: 145 – 148
Date: 2003

Abstract:
In this article, we give a second order, in space and time, finite difference scheme for the linear Korteweg-de Vries equation (KdV) on bounded domains. Using this method, a numerical model for the boundary controllability of linear Korteweg-de Vries equation by means of the Hilbert Uniqueness Method (HUM) is proposed. In particular, it is found that the solution of the control problem lies on the piecewise linear functions space defined over the discretization of the
domain. Finally, several numerical examples are presented in order to asses the accuracy and the range of application of the developed method.

Journal paper (from the publisher)  
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Bibtex:

@article{2003-RIMNCDI-CS,
  Author   = {Capella-Kort, A; Sarrate, J.},
  Title    = {Estudio numérico del control exacto desde el contorno de la ecuación Korteweg–de Vries lineal},
  Fjournal = {Revista internacional de métodos numéricos para cálculo y diseño en ingeniería},
  Volume   = {19},
  Number   = {2},
  Pages    = {145--148},
  ISSN    = {1886-158X},
  URL     = {http://hdl.handle.net/2099/4373}
  Year     = {2003}}