Abstract
We propose a stable, convergent, conservative and linear finite difference scheme to solve numerically the Cahn-Hilliard equation. The proposed scheme realizes both linearity and stability. We show uniqueness, existence and convergence of the solution to the scheme. Numerical examples demonstrate the effectiveness of the proposed scheme.
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Furihata, D., Matsuo, T. A stable, convergent, conservative and linear finite difference scheme for the Cahn-Hilliard equation. Japan J. Indust. Appl. Math. 20, 65 (2003). https://doi.org/10.1007/BF03167463
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DOI: https://doi.org/10.1007/BF03167463