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

Liquan Mei | Zendy

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

Author(s) -

Liquan Mei

Publication year - 2018

Publication title -

computer simulation in application

Language(s) - English

Resource type - Journals

ISSN - 2630-4597

DOI - 10.18063/csa.v1i3.907

Subject(s) - discretization , cahn–hilliard equation , mathematics , spectral method , fourier transform , energy (signal processing) , order (exchange) , mathematical analysis , fast fourier transform , space (punctuation) , fourier analysis , temporal discretization , stability (learning theory) , fourier series , algorithm , computer science , partial differential equation , statistics , finance , machine learning , economics , operating system

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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