Cahn-Hilliard方程式の差分法による数値的解析

DOI 被引用文献5件 参考文献10件

書誌事項

タイトル別名
  • A Numerical Analysis of the Cahn-Hilliard Equation by the Finite Difference Method

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説明

A new idea of stability for the finite difference scheme applied to the Cahn-Hilliard equation which describes a phase separation problem is proposed and its validity is verified through numerical experiments. We define the growth rate of the solution of the equation in terms of local Fourier resolution. Then, we introduce a stability based on the localized Fourier resolution for the finite difference scheme by embedding the range of the growth rate of the solution obtained by the scheme into that of the solution of the original equation. Under this stability condition we obtained a stable and reasonable numerical solution of the Cahn-Hilliard equation.

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被引用文献 (5)*注記

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参考文献 (10)*注記

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詳細情報 詳細情報について

  • CRID
    1390001205768428288
  • NII論文ID
    110001883549
  • NII書誌ID
    AN10367166
  • DOI
    10.11540/jsiamt.3.3_217
  • ISSN
    24240982
  • 本文言語コード
    ja
  • 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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