𝔖 Bobbio Scriptorium
✦   LIBER   ✦

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

✍ Scribed by Daisuke Furihata


Publisher
Springer-Verlag
Year
2001
Tongue
English
Weight
234 KB
Volume
87
Category
Article
ISSN
0029-599X

No coin nor oath required. For personal study only.


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