An Efficient Numerical Algorithm for Fractional Cahn-Hilliard Equations

WANG Jingying; ZHAI Shuying

doi:10.21656/1000-0887.420008

Volume 42 Issue 8

Aug. 2021

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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

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

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An Efficient Numerical Algorithm for Fractional Cahn-Hilliard Equations

doi: 10.21656/1000-0887.420008

WANG Jingying,
ZHAI Shuying^,

School of Mathematical Sciences, Huaqiao University, Quanzhou, Fujian 362021, P.R.China

Funds:

The National Natural Science Foundation of China(11701196)

Received Date: 2021-01-11
Rev Recd Date: 2021-01-31

Available Online: 2021-08-14

Abstract

Abstract

An efficient numerical algorithm for the time-space fractional Cahn-Hilliard equation was proposed. Firstly, the time-space fractional Cahn-Hilliard equation was converted into the spatial fractional Cahn-Hilliard equation through the Laplace transform. Then, by means of the Fourier spectral method combined with the finite difference method, an efficient numerical scheme with 2nd-order convergence in time and spectral accuracy in space was obtained. Finally, the validity of the proposed algorithm was verified by numerical experiments. The algorithm satisfies the energy dissipation law and the mass conservation law.
- fractional Cahn-Hilliard equation,
- Laplace transform,
- Fourier spectral method,
- finite difference method,
- energy dissipation,
- mass conservation

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References(33)

References

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