Cybernetics and Systems Analysis

, Volume 46, Issue 6, pp 913–921 | Cite as

Mathematical modeling of some singularly perturbed processes of diffusion with relaxation

  • V. M. Bulavatsky
  • V. V. Skopetsky
Systems Analysis


A nonclassical mathematical model is used to formulate a boundary-value problem of convective diffusion in a flat steady-state filtration flow with allowance for the relaxation of the diffusion process. Asymptotic approximations of the solutions are derived for predominating convective mass transfer and weak relaxation effects.


mathematical modeling nonclassical models singularly perturbed processes mass transfer relaxation systems of partial differential equations boundary-value problems asymptotic approximations 


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© Springer Science+Business Media, Inc. 2010

Authors and Affiliations

  1. 1.V. M. Glushkov Institute of CyberneticsNational Academy of Sciences of UkraineKyivUkraine

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