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 |
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Hauptverfasser: | , , , |
Format: | Artikel |
Sprache: | eng |
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Online-Zugang: | Volltext |
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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 |
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ISSN: | 1029-242X 1025-5834 1029-242X |
DOI: | 10.1186/s13660-022-02808-x |