Efficient and Stable Time Integration of Cahn–Hilliard Equations: Explicit, Implicit, and Explicit Iterative Schemes

To solve the Cahn–Hilliard equation numerically, a new time integration algorithm is proposed, which is based on a combination of the Eyre splitting and the local iteration modified (LIM) scheme. The latter is employed to tackle the implicit system arising each time integration step. The proposed me...

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Bibliographic Details
Published in:	Computational mathematics and mathematical physics Vol. 64; no. 8; pp. 1726 - 1746
Main Authors:	Botchev, M. A., Fahurdinov, I. A., Savenkov, E. B.
Format:	Journal Article
Language:	English
Published:	Moscow Pleiades Publishing 01.08.2024 Springer Nature B.V
Subjects:	Algorithms Computational Mathematics and Numerical Analysis Energy Finite volume method General Numerical Methods Interfaces Mathematical models Mathematics Mathematics and Statistics Nonlinear equations Time integration local iteration modified scheme Eyre splitting Cahn–Hilliard equation gradient-stable schemes
ISSN:	0965-5425, 1555-6662
Online Access:	Get full text
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