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A stable, convergent, conservative and linear finite difference scheme for the Cahn-Hilliard equation

✍ Scribed by Daisuke Furihata; Takayasu Matsuo


Publisher
Japan Society for Industrial and Applied Mathematics
Year
2003
Tongue
English
Weight
962 KB
Volume
20
Category
Article
ISSN
0916-7005

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Numerical solutions for the Cahn-Hilliard equation is considered using the Crank-Nicolson type finite difference method. Existence of the solution for the difference scheme has been shown by Brouwer fixed-point theorem. Stability, convergence and error analysis of the scheme axe shown. We also show

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A nonlinear conservative difference scheme is considered for the two-dimensional Cahno Hilliard equation. Existence of the solution for the finite difference scheme has been shown and the corresponding stability, convergence, and error estimates are discussed. We also show that the scheme preserves