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

説明

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.

収録刊行物

  • Theoretical and Applied Mechanics Japan

    Theoretical and Applied Mechanics Japan 61 (0), 185-193, 2013

    日本学術会議 「機械工学委員会・土木工学・建築学委員会合同IUTAM分科会」

詳細情報 詳細情報について

  • CRID
    1390001205211673344
  • NII論文ID
    130004463842
  • DOI
    10.11345/nctam.61.185
  • ISSN
    13494244
    13480693
  • 本文言語コード
    en
  • データソース種別
    • JaLC
    • CiNii Articles
  • 抄録ライセンスフラグ
    使用不可

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