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Cybernetics and Systems Analysis

, Volume 51, Issue 4, pp 529–546 | Cite as

Highly Efficient Methods of the Identification of Competitive Diffusion Parameters in Inhomogeneous Media of Nanoporous Particles

  • I. V. Sergienko
  • M. R. Petryk
  • J. Fraissard
  • S. Leclerc
Article

Abstract

Creation of highly efficient methods of identification by constructing low-cost analytical solutions to direct and conjugate problems is considered. Explicit expressions are constructed for residual functional gradients to identify the transfer parameters in nanoporous media with the known total mass distribution in the solid and gaseous phases of the adsorbed substances. The results of numerical experiments are presented.

Keywords

mathematical model competitive diffusion parameter identification direct and conjugate problems gradient method Heaviside operational method residual functional gradient inhomogeneous media nanoporous particles 

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Copyright information

© Springer Science+Business Media New York 2015

Authors and Affiliations

  • I. V. Sergienko
    • 1
  • M. R. Petryk
    • 2
  • J. Fraissard
    • 3
  • S. Leclerc
    • 4
  1. 1.V. M. Glushkov Institute of CyberneticsNational Academy of Sciences of UkraineKyivUkraine
  2. 2.Ivan Puluj Ternopil National Technical UniversityTernopilUkraine
  3. 3.Pierre and Marie Curie UniversityParisFrance
  4. 4.University of LorraineNancyFrance

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