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A conservative nonlinear difference scheme for the viscous Cahn-Hilliard equation

✍ Scribed by S. M. Choo; S. K. Chung


Publisher
Springer-Verlag
Year
2004
Tongue
English
Weight
195 KB
Volume
16
Category
Article
ISSN
1598-5865

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πŸ“œ SIMILAR VOLUMES


Conservative nonlinear difference scheme
✍ S.M. Choo; S.K. Chung πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 484 KB

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
✍ S.M. Choo; S.K. Chung; K.I. Kim πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 663 KB

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