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
Conservative nonlinear difference scheme for the Cahn-Hilliard equation—II
✍ Scribed by S.M. Choo; S.K. Chung; K.I. Kim
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 663 KB
- Volume
- 39
- Category
- Article
- ISSN
- 0898-1221
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✦ Synopsis
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 the discrete total mass computationally as well as analytically.
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