A Stabilized Fourier Spectral Method for the Fractional Cahn-Hilliard Equation

Authors

  • Liquan Mei Xi’an Jiaotong University

DOI:

https://doi.org/10.18063/csa.v1i3.907

Keywords:

Fractional Cahn-Hilliard equation, Crank-Nicolson formula, Energy stable, Spectral method

Abstract

In this paper, the second order accurate (in time) energy stable numerical schemes are presented for the Fractional Cahn-Hilliard (CH) equation. Combining the stabilized technique, we apply the implicit Crank-Nicolson formula (CN) to derive second order temporal accuracy, and we use the Fourier spectral method for space discrete to obtain the fully discretization schemes. It is shown that the schemes are unconditionally energy stable. A few numerical experiments are presented to conclude the article.

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Published

2018-12-26

Issue

Vol 1, No 3 ( In publishing)

Section

Articles

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