Fuzzy Parametric Integral Equations System in modelling of polygonal potential boundary problems described by the Laplace equation

  • Eugeniusz Zieniuk
  • Andrzej Kuzelewski


The following paper presents an application of the fuzzy Parametric Integral Equations System (PIES) for solving potential boundary problems in polygonal domains with uncertainly defined boundary geometry and boundary conditions. The proposed method is based on the PIES and ordered fuzzy numbers. The boundary geometry is created using a small number of control points and modelled by parametric linear functions. Neither the boundary nor the domain discretization is required to process the algorithm.


Parametric Integral Equations System interval arithmetic ordered fuzzy numbers boundary problems 


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Copyright information

© Springer Science+Business Media, Inc. 2005

Authors and Affiliations

  • Eugeniusz Zieniuk
    • 1
  • Andrzej Kuzelewski
    • 1
  1. 1.Faculty of Mathematics and Physics, Institute of Computer ScienceUniversity of BialystokBialystokPoland

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