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Numerical approximation of SAV finite difference method for the Allen–Cahn equation.
- Source :
- International Journal of Modeling, Simulation & Scientific Computing; Oct2023, Vol. 14 Issue 5, p1-18, 18p
- Publication Year :
- 2023
-
Abstract
- In this paper, the second-order scalar auxiliary variable approach combined with finite difference method is employed for the Allen–Cahn equation that represents a phenomenological model for antiphase domain coarsening in a binary mixture. The second-order backward differentiation formula is used in time. The error estimation of the semi-discrete scheme is derived in the sense of L 2 -norm. Several numerical simulations in 2D and 3D are demonstrated to verify the accuracy and efficiency of the proposed scheme. [ABSTRACT FROM AUTHOR]
- Subjects :
- FINITE difference method
BINARY mixtures
EQUATIONS
COMPUTER simulation
Subjects
Details
- Language :
- English
- ISSN :
- 17939623
- Volume :
- 14
- Issue :
- 5
- Database :
- Complementary Index
- Journal :
- International Journal of Modeling, Simulation & Scientific Computing
- Publication Type :
- Academic Journal
- Accession number :
- 174389277
- Full Text :
- https://doi.org/10.1142/S1793962324500016