Stabilized semi-implicit spectral deferred correction methods for Allen-Cahn and Cahn-Hilliard equations
نویسندگان
چکیده
منابع مشابه
Stabilized Semi-implicit Spectral Deferred Correction Methods for Allen-cahn and Cahn-hilliard Equations
Stabilized semi-implicit spectral defect correction (SSISDC) methods are constructed for the time discretization of Allen-Cahn and Cahn-Hilliard equations. These methods are unconditionally stable, lead to simple linear system to solve at each iteration and can achieve high-order time accuracy with a few iterations in each time step. Ample numerical results are presented to demonstrate the effe...
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Stability analyses and error estimates are carried out for a number of commonly used numerical schemes for the Allen-Cahn and Cahn-Hilliard equations. It is shown that all the schemes we considered are either unconditionally energy stable, or conditionally energy stable with reasonable stability conditions in the semi-discretized versions. Error estimates for selected schemes with a spectral-Ga...
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ژورنال
عنوان ژورنال: Mathematical Methods in the Applied Sciences
سال: 2013
ISSN: 0170-4214
DOI: 10.1002/mma.2869