A Numerical Approach of the sentinel method for distributed parameter systems

Aboubakari Traore; Benjamin Mampassi; Bisso Saley

Open Mathematics (2007)

  • Volume: 5, Issue: 4, page 751-763
  • ISSN: 2391-5455

Abstract

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In this paper we consider the problem of detecting pollution in some non linear parabolic systems using the sentinel method. For this purpose we develop and analyze a new approach to the discretization which pays careful attention to the stability of the solution. To illustrate convergence properties we give some numerical results that present good properties and show new ways for building discrete sentinels.

How to cite

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Aboubakari Traore, Benjamin Mampassi, and Bisso Saley. "A Numerical Approach of the sentinel method for distributed parameter systems." Open Mathematics 5.4 (2007): 751-763. <http://eudml.org/doc/269785>.

@article{AboubakariTraore2007,
abstract = {In this paper we consider the problem of detecting pollution in some non linear parabolic systems using the sentinel method. For this purpose we develop and analyze a new approach to the discretization which pays careful attention to the stability of the solution. To illustrate convergence properties we give some numerical results that present good properties and show new ways for building discrete sentinels.},
author = {Aboubakari Traore, Benjamin Mampassi, Bisso Saley},
journal = {Open Mathematics},
keywords = {Sentinel method; collocation method; Chebyshev differentiation matrix; Gauss-Legendre points and weight matrix; sentinel method; Gauss-Legendre points; nonlinear parabolic boundary value problems; unknown source term; pseudo-spectral method; convergence; numerical experiments},
language = {eng},
number = {4},
pages = {751-763},
title = {A Numerical Approach of the sentinel method for distributed parameter systems},
url = {http://eudml.org/doc/269785},
volume = {5},
year = {2007},
}

TY - JOUR
AU - Aboubakari Traore
AU - Benjamin Mampassi
AU - Bisso Saley
TI - A Numerical Approach of the sentinel method for distributed parameter systems
JO - Open Mathematics
PY - 2007
VL - 5
IS - 4
SP - 751
EP - 763
AB - In this paper we consider the problem of detecting pollution in some non linear parabolic systems using the sentinel method. For this purpose we develop and analyze a new approach to the discretization which pays careful attention to the stability of the solution. To illustrate convergence properties we give some numerical results that present good properties and show new ways for building discrete sentinels.
LA - eng
KW - Sentinel method; collocation method; Chebyshev differentiation matrix; Gauss-Legendre points and weight matrix; sentinel method; Gauss-Legendre points; nonlinear parabolic boundary value problems; unknown source term; pseudo-spectral method; convergence; numerical experiments
UR - http://eudml.org/doc/269785
ER -

References

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