Numerical Simulation on Local Solutions of Partial Differential Equations

DOI
  • IMAI Hitoshi
    Institute of Technology and Science, The University of Tokushima
  • SAKAGUCHI Hideo
    Institute of Technology and Science, The University of Tokushima

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Description

We present a simple numerical simulation on local solutions of partial differential equations. It is enabled by using IPNS(Infinite-Precision Numerical Simulation). The equation solved here is the Laplace equation. The behaviors of numerical solutions are different corresponding to the existence or nonexistence of the solution. The numerical method used here is not restricted to the Laplace equation. So, our results may be useful for the theoretical proof on the existence or nonexistence of the solution of partial differential equations.

Journal

Details 詳細情報について

  • CRID
    1390001205211673344
  • NII Article ID
    130004463842
  • DOI
    10.11345/nctam.61.185
  • ISSN
    13494244
    13480693
  • Text Lang
    en
  • Data Source
    • JaLC
    • CiNii Articles
  • Abstract License Flag
    Disallowed

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