Journal of applied mathematics & informatics
- Volume 23 Issue 1_2
- /
- Pages.571-579
- /
- 2007
- /
- 2734-1194(pISSN)
- /
- 2234-8417(eISSN)
L^INFINITY ERROR ESTIMATES FOR FINITE DIFFERENCE SCHEMES FOR GENERALIZED CAHN-HILLIARD AND KURAMOTO-SIVASHINSKY EQUATIONS
Abstract
Finite difference schemes are considered for a generalization of the Cahn-Hilliard equation with Neumann boundary conditions and the Kuramoto-Sivashinsky equation with a periodic boundary condition, which is of the type
Keywords
- Cahn-Hilliard equation;
- Kuramoto-Sivashinsky equation;
- nonlinear finite difference schemes;
- $L^{\infty}$ error estimates;
- Lax-Richtmyer equivalence theorem