Comparison study of numerical methods for solving the Allen-Cahn equation
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- 作者：Darae Jeonga ; tinayoyo@korea.ac.kr" class="auth_mail" title="E-mail the corresponding author ; Seunggyu Leea ; 509sky@hanmail.net" class="auth_mail" title="E-mail the corresponding author ; Dongsun Leeb ; esen@unist.ac.kr" class="auth_mail" title="E-mail the corresponding author ; Jaemin Shinc ; zmshin@korea.ac.kr" class="auth_mail" title="E-mail the corresponding author ; Junseok Kima ; cfdkim@korea.ac.kr" class="auth_mail" title="E-mail the corresponding author ;
- 关键词：Allen&ndash ; Cahn equation ; Finite difference ; Explicit ; Implicit ; Crank&ndash ; Nicolson ; Unconditionally gradient stable
- 刊名：Computational Materials Science
- 出版年：2016
- 出版时间：January 2016
- 年：2016
- 卷：111
- 期：Complete
- 页码：131-136
- 全文大小：455 K
文摘
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We present a critical comparison for solving the Allen–Cahn equation.
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Numerical solvability and stability are discussed.
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We show the pointwise boundedness of the numerical solution.
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We demonstrate its usefulness with the numerical experiments.