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A stabilized fully-discrete scheme for phase field crystal equation.
- Source :
-
Applied Numerical Mathematics . Aug2022, Vol. 178, p337-355. 19p. - Publication Year :
- 2022
-
Abstract
- A finite difference scheme is developed for solving the phase field crystal equation with the Dirichlet boundary condition. The second-order stabilized semi-implicit scheme is applied to discretize the time variable. The mass conservation, unique solvability of the semi-discrete scheme are proved. Then, the spatial discretization is attained by the fourth-order compact difference scheme. The unconditional energy stability and convergence analysis of the fully-discrete scheme are presented. In the implementation, a fast sine transform technique is utilized to reduce the computational cost. Several numerical examples are presented to verify the effectiveness of the proposed scheme. [ABSTRACT FROM AUTHOR]
- Subjects :
- *FINITE differences
*CONSERVATION of mass
*CRYSTALS
*EQUATIONS
Subjects
Details
- Language :
- English
- ISSN :
- 01689274
- Volume :
- 178
- Database :
- Academic Search Index
- Journal :
- Applied Numerical Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- 156809775
- Full Text :
- https://doi.org/10.1016/j.apnum.2022.04.007