Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
7380455 | Physica A: Statistical Mechanics and its Applications | 2014 | 12 Pages |
Abstract
We present a fourth-order spatial accurate and practically stable compact difference scheme for the Cahn-Hilliard equation. The compact scheme is derived by combining a compact nine-point formula and linearly stabilized splitting scheme. The resulting system of discrete equations is solved by a multigrid method. Numerical experiments are conducted to verify the practical stability and fourth-order accuracy of the proposed scheme. We also demonstrate that the compact scheme is more robust and efficient than the non-compact fourth-order scheme by applying to parallel computing and adaptive mesh refinement.
Keywords
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Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Chaeyoung Lee, Darae Jeong, Jaemin Shin, Yibao Li, Junseok Kim,