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.
타이거 세미나
제목 | (국문발표 20180807 A fourth-order compact scheme for the Cahn–Hilliard equation) 이채영 |
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