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Convex Splitting Runge–Kutta methods for phase-field models

Title
Convex Splitting Runge–Kutta methods for phase-field models
Authors
Shin J.Lee H.G.Lee J.-Y.
Ewha Authors
이준엽신재민
SCOPUS Author ID
이준엽scopus; 신재민scopus
Issue Date
2017
Journal Title
Computers and Mathematics with Applications
ISSN
0898-1221JCR Link
Citation
vol. 73, no. 11, pp. 2388 - 2403
Keywords
Allen–Cahn equationCahn–Hilliard equationConvex splittingImplicit–explicit Runge–KuttaPhase-field crystal equation
Publisher
Elsevier Ltd
Indexed
SCI; SCIE; SCOPUS WOS scopus
Abstract
In this paper, we present the Convex Splitting Runge–Kutta (CSRK) methods which provide a simple unified framework to solve phase-field models such as the Allen–Cahn, Cahn–Hilliard, and phase-field crystal equations. The core idea of the CSRK methods is the combination of convex splitting methods and multi-stage implicit–explicit Runge–Kutta methods. Our CSRK methods are high-order accurate in time and we investigate the energy stability numerically. We present numerical experiments to show the accuracy and efficiency of the proposed methods up to the third-order accuracy. © 2017 Elsevier Ltd
DOI
10.1016/j.camwa.2017.04.004
Appears in Collections:
자연과학대학 > 수학전공 > Journal papers
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