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分数阶Cahn-Hilliard方程的高效数值算法

汪精英 翟术英

汪精英, 翟术英. 分数阶Cahn-Hilliard方程的高效数值算法[J]. 应用数学和力学, 2021, 42(8): 832-840. doi: 10.21656/1000-0887.420008
引用本文: 汪精英, 翟术英. 分数阶Cahn-Hilliard方程的高效数值算法[J]. 应用数学和力学, 2021, 42(8): 832-840. doi: 10.21656/1000-0887.420008
WANG Jingying, ZHAI Shuying. An Efficient Numerical Algorithm for Fractional Cahn-Hilliard Equations[J]. Applied Mathematics and Mechanics, 2021, 42(8): 832-840. doi: 10.21656/1000-0887.420008
Citation: WANG Jingying, ZHAI Shuying. An Efficient Numerical Algorithm for Fractional Cahn-Hilliard Equations[J]. Applied Mathematics and Mechanics, 2021, 42(8): 832-840. doi: 10.21656/1000-0887.420008

分数阶Cahn-Hilliard方程的高效数值算法

doi: 10.21656/1000-0887.420008
基金项目: 

国家自然科学基金(11701196);福建省自然科学基金(2020J01074)

详细信息
    作者简介:

    汪精英 (1995—),女,硕士生(E-mail: 18281910892@163.com);翟术英 (1986—),女,副教授,硕士生导师(通讯作者. E-mail: zhaishuying123456@163.com).

    通讯作者:

    翟术英 (1986—),女,副教授,硕士生导师(通讯作者. E-mail: zhaishuying123456@163.com).

  • 中图分类号: O242

An Efficient Numerical Algorithm for Fractional Cahn-Hilliard Equations

Funds: 

The National Natural Science Foundation of China(11701196)

  • 摘要: 给出了时空分数阶Cahn-Hilliard方程的一个高效数值算法.首先,利用Laplace变换将时空分数阶Cahn-Hilliard方程转化为空间分数阶Cahn-Hilliard方程;然后,结合Fourier谱方法和有限差分法得到一个时间二阶、空间谱精度的高效数值格式;最后,通过数值实验验证本文数值算法的有效性,并验证其满足能量耗散性质和质量守恒定律.
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出版历程
  • 收稿日期:  2021-01-11
  • 修回日期:  2021-01-31
  • 网络出版日期:  2021-08-14

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