Allen-Cahn方程正解的子解和超解数值验证

IF 0.4 Q4 ENGINEERING, MULTIDISCIPLINARY

Journal of Advanced Simulation in Science and Engineering Pub Date : 2020-01-01 DOI:10.15748/jasse.7.136

Y. Matsushima, Kazuaki Tanaka, S. Oishi

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引用次数: 0

摘要

本文在子解和超解方法的基础上，给出了Allen-Cahn方程正解的数值验证方法。我们的应用范围扩展到收敛或充分接近稳定的固定解决方案的全局实时解决方案。所提出的验证方法与求近似解的计算具有几乎相同的内存要求。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Numerical verification for positive solutions of Allen–Cahn equation using sub- and super-solution method

This paper describes a numerical verification method for positive solutions of the Allen–Cahn equation on the basis of the suband super-solution method. Our application range extends to global-in-time solutions that converge or sufficiently approach to stable stationary solutions. The proposed verification method has almost the same memory requirements as the computation for obtaining an approximate solution.

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Journal of Advanced Simulation in Science and Engineering ENGINEERING, MULTIDISCIPLINARY-

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