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Numerical Approximation of the Space Fractional Cahn-Hilliard Equation
Joint Authors
Weng, Zhifeng
Huang, Langyang
Wu, Rong
Source
Mathematical Problems in Engineering
Issue
Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2019-04-01
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
In this paper, a second-order accurate (in time) energy stable Fourier spectral scheme for the fractional-in-space Cahn-Hilliard (CH) equation is considered.
The time is discretized by the implicit backward differentiation formula (BDF), along with a linear stabilized term which represents a second-order Douglas-Dupont-type regularization.
The semidiscrete schemes are shown to be energy stable and to be mass conservative.
Then we further use Fourier-spectral methods to discretize the space.
Some numerical examples are included to testify the effectiveness of our proposed method.
In addition, it shows that the fractional order controls the thickness and the lifetime of the interface, which is typically diffusive in integer order case.
American Psychological Association (APA)
Weng, Zhifeng& Huang, Langyang& Wu, Rong. 2019. Numerical Approximation of the Space Fractional Cahn-Hilliard Equation. Mathematical Problems in Engineering،Vol. 2019, no. 2019, pp.1-10.
https://search.emarefa.net/detail/BIM-1195070
Modern Language Association (MLA)
Weng, Zhifeng…[et al.]. Numerical Approximation of the Space Fractional Cahn-Hilliard Equation. Mathematical Problems in Engineering No. 2019 (2019), pp.1-10.
https://search.emarefa.net/detail/BIM-1195070
American Medical Association (AMA)
Weng, Zhifeng& Huang, Langyang& Wu, Rong. Numerical Approximation of the Space Fractional Cahn-Hilliard Equation. Mathematical Problems in Engineering. 2019. Vol. 2019, no. 2019, pp.1-10.
https://search.emarefa.net/detail/BIM-1195070
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1195070