A numerical verification method for two-coupled elliptic partial differential equations

研究成果: ジャーナルへの寄稿記事

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A numerical verification method of steady state solutions for a system of reaction-diffusion equations is described. Using a decoupling technique, the system is reduced to a single nonlinear equation and a computer-assisted method for second-order elliptic boundary value problems based on the infinite dimensional fixed-point theorem can be applied. Some numerical examples confirm the effectiveness of the method.

元の言語英語
ページ(範囲)233-247
ページ数15
ジャーナルJapan Journal of Industrial and Applied Mathematics
26
発行部数2-3
DOI
出版物ステータス出版済み - 1 1 2009

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All Science Journal Classification (ASJC) codes

  • Engineering(all)
  • Applied Mathematics

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