Controlling the accuracy of unconditionally stable algorithms in Cahn-Hilliard Equation

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dc.creatorCheng, Mowei
dc.creatorWarren, James A.
dc.date2006-09-14
dc.date2006-10-25
dc.date.accessioned2026-07-07T07:41:12Z
dc.date.available2026-07-07T07:41:12Z
dc.descriptionGiven an unconditionally stable algorithm for solving the Cahn-Hilliard equation, we present a general calculation for an analytic time step $\d τ$ in terms of an algorithmic time step $\dt$. By studying the accumulative multi-step error in Fourier space and controlling the error with arbitrary accuracy, we determine an improved driving scheme $\dt=At^{2/3}$ and confirm the numerical results observed in a previous study \cite{Cheng1}.
dc.description4 pages, latex
dc.identifierhttps://arxiv.org/abs/cond-mat/0609354
dc.identifierhttp://arxiv.org/abs/cond-mat/0609354
dc.identifierPhys. Rev. E 75, 017702 (2007)
dc.identifierdoi:10.1103/PhysRevE.75.017702
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/122017
dc.subjectMaterials Science
dc.subjectSoft Condensed Matter
dc.titleControlling the accuracy of unconditionally stable algorithms in Cahn-Hilliard Equation
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