Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4958444 | Computers & Mathematics with Applications | 2017 | 16 Pages |
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.
Related Topics
Physical Sciences and Engineering
Computer Science
Computer Science (General)
Authors
Jaemin Shin, Hyun Geun Lee, June-Yub Lee,