Approximate solution of the dirichlet problem for elliptic PDE and its error estimate

  • Authors:

  • Serguey Zemskov

  • Affiliations:

  • University of Rostock

  • Venue:
  • CASC'05 Proceedings of the 8th international conference on Computer Algebra in Scientific Computing
  • Year:
  • 2005

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Abstract

The proposed in [7] uniform error estimate allows to control the accuracy of the symbolic approximate solution of the Dirichlet problem for elliptic PDE in the whole domain of the problem considered. The present paper demonstrates the techniques of finding such an approximate solution with Mathematica and the use of the uniform error estimate for a concrete example.