Numerical Simulation on Local Solutions of Partial Differential Equations

• IMAI Hitoshi

  Institute of Technology and Science, The University of Tokushima

• SAKAGUCHI Hideo

  Institute of Technology and Science, The University of Tokushima

抄録

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

• CRID: 1390001205211673344
• NII論文ID: 130004463842
• DOI: 10.11345/nctam.61.185
• ISSN: 13494244
• ISSN: 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