Novel, linear, decoupled and unconditionally energy stable numerical methods for the coupled Cahn–Hilliard equations

This paper uses a novel numerical approach to approximate the coupled Cahn–Hilliard equations, which are a highly nonlinear system depicting the phase separation of the homopolymer and copolymer mixtures. The new method is named 3S-IEQ, and its construction and calculation are more straightforward t...

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Veröffentlicht in:Journal of inequalities and applications 2022-06, Vol.2022 (1), p.1-10, Article 71
Hauptverfasser: Li, Lingfei, Yan, Yongsheng, Yang, Fan, Ma, Xiaoqiang
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Sprache:eng
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Zusammenfassung:This paper uses a novel numerical approach to approximate the coupled Cahn–Hilliard equations, which are a highly nonlinear system depicting the phase separation of the homopolymer and copolymer mixtures. The new method is named 3S-IEQ, and its construction and calculation are more straightforward than the invariant energy quadratization and scalar auxiliary variable methods. Notably, we only need to solve two linear decoupled constant-coefficient equations at each time step. Numerical simulations are shown
ISSN:1029-242X
1025-5834
1029-242X
DOI:10.1186/s13660-022-02808-x