A three level linearized compact difference scheme for the Cahn-Hilliard equation |
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| Authors: | Juan Li ZhiZhong Sun Xuan Zhao |
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| Institution: | 1. Department of Mathematics, Southeast University, Nanjing, 210096, China
2. Yingtian College, Nanjing, 210046, China
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| Abstract: | 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(?? 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. |
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| Keywords: | Cahn-Hilliard equation compact difference scheme convergence solvability conservation energy non-increase |
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