volume 26, issue 9, P4745 2021
DOI: 10.3934/dcdsb.2020311
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Lin Lu, Qi Wang, Yongzhong Song, Yushun Wang

Abstract: Based on the local energy dissipation property of the molecular beam epitaxy (MBE) model with slope selection, we develop three, second order fully discrete, local energy dissipation rate preserving (LEDP) algorithms for the model using finite difference methods. For periodic boundary conditions, we show that these algorithms are global energy dissipation rate preserving (GEDP). For adiabatic, physical boundary conditions, we construct two GEDP algorithms from the three LEDP ones with consistently discretized …

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