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摘要
This article is devoted to the study of high order accuracy difference methods for the Cahn-Hilliard equation. A three level linearized compact difference scheme is derived. The unique solvability and unconditional convergence of the difference solution are proved. The convergence order is O(tau(2) + h(4)) in the maximum norm. The mass conservation and the non-increase of the total energy are also verified. Some numerical examples are given to demonstrate the theoretical results.
- 出版日期2012-4
- 单位东南大学
