An energy stable fourth order finite difference scheme for the Cahn-Hilliard equation

In this paper we propose and analyze an energy stable numerical scheme for the Cahn-Hilliard equation, with second order accuracy in time and the fourth order finite difference approximation in space. In particular, the truncation error for the long stencil fourth order finite difference approximati...

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Veröffentlicht in:	arXiv.org 2017-12
Hauptverfasser:	Cheng, Kelong, Feng, Wenqiang, Wang, Cheng, Wise, Steven M
Format:	Artikel
Sprache:	eng
Schlagworte:	Approximation Boundary conditions Finite difference method Fourier analysis Mathematical analysis Regularization Robustness (mathematics) Stability Taylor series Truncation errors
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