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A second-order linear and unconditional energy-stable scheme for Swift-Hohenberg equations.
- Source :
-
Applied Mathematics & Computation . Aug2024, Vol. 475, pN.PAG-N.PAG. 1p. - Publication Year :
- 2024
-
Abstract
- In the paper, an unconditional energy-stable scheme is developed with the help of the scalar auxiliary variable (SAV) approach and the leapfrog time-discretization. The fully discrete scheme gives a linear and decoupled system, whereas previous SAV-type methods usually gave a coupled linear system. Therefore, the proposed scheme is decoupled and thus easier to be implemented. Moreover, it is proved that the proposed scheme has second-order time accuracy in the temporal direction. Several numerical examples are provided to support the proposed theoretical results. • An unconditional energy-stable scheme is developed to numerically solve the Swift-Hohenberg equations. • The proposed scheme is linearly implicit and decoupled and thus easier to be implemented. • Convergence of the semi-discrete scheme is obtained. [ABSTRACT FROM AUTHOR]
- Subjects :
- *LINEAR systems
*EQUATIONS
Subjects
Details
- Language :
- English
- ISSN :
- 00963003
- Volume :
- 475
- Database :
- Academic Search Index
- Journal :
- Applied Mathematics & Computation
- Publication Type :
- Academic Journal
- Accession number :
- 177146959
- Full Text :
- https://doi.org/10.1016/j.amc.2024.128739