A conservative nonlinear difference scheme for the viscous Cahn-Hilliard equation |
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| Authors: | S. M. Choo S. K. Chung |
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| Affiliation: | 1. Department of Mathematics, University of Ulsan, 680-749, Ulsan, Korea
2. Department of Mathematics Education, Seoul National University, 151-742, Seoul, Korea
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| Abstract: | Numerical solutions for the viscous Cahn-Hilliard equation are considered using the crank-Nicolson type finite difference method which conserves the mass. The corresponding stability and error analysis of the scheme are shown. The decay speeds of the solution inH 1-norm are shown. We also compare the evolution of the viscous Cahn-Hilliard equation with that of the Cahn-Hilliard equation numerically and computationally, which has been given as an open question in Novick-Cohen[13]. |
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