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자연과학대학
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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
이준엽
;
신재민
SCOPUS Author ID
이준엽
; 신재민
Issue Date
2017
Journal Title
Computers and Mathematics with Applications
ISSN
0898-1221
Citation
Computers and Mathematics with Applications vol. 73, no. 11, pp. 2388 - 2403
Keywords
Allen–Cahn equation
;
Cahn–Hilliard equation
;
Convex splitting
;
Implicit–explicit Runge–Kutta
;
Phase-field crystal equation
Publisher
Elsevier Ltd
Indexed
SCIE; SCOPUS
Document Type
Article
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
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