Boundary-Value Problems with Closed Irregular Contours or Surfaces

  • George Adomian
Part of the Fundamental Theories of Physics book series (FTPH, volume 60)


The simulant concept can now be used in an extremely valuable application, that of boundary-value problems for differential or partial differential equations modelling physical problems between two closed irregular contours (or surfaces). These are considered using decomposition of the boundary shape and simulation of the solution for each boundary approximant.


Boundary Shape Gibbs Phenomenon Irregular Contour Decomposition Form Exact Boundary Condition 
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  1. 1.
    G. Adomian, Nonlinear Stochastic Operator Equations, Academic Press (1986).Google Scholar
  2. 2.
    G. Adomian and R. Rach, Smooth Polynomial Expansions of Piecewise-differentiable Functions, Appl. Math. Lett., 2, (377–79) (1989).MathSciNetGoogle Scholar

Copyright information

© Springer Science+Business Media Dordrecht 1994

Authors and Affiliations

  • George Adomian
    • 1
  1. 1.General Analytics CorporationAthensUSA

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