Numerical methods for fourth order nonlinear degenerate diffusion problems
โ Scribed by Jurgen Becker; Gunther Grun; Martin Lenz; Martin Rumpf
- Book ID
- 111571198
- Publisher
- Springer-Verlag
- Year
- 2002
- Tongue
- English
- Weight
- 557 KB
- Volume
- 47
- Category
- Article
- ISSN
- 0862-7940
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
A compact finite difference method with non-isotropic mesh is proposed for a two-dimensional fourth-order nonlinear elliptic boundary value problem. The existence and uniqueness of its solutions are investigated by the method of upper and lower solutions, without any requirement of the monotonicity
A fourth-order accurate finite difference method is developed for a class of fourth order nonlinear two-point boundary value problems. The method leads to a pentadiagonal scheme in the linear cases, which often arise in the beam deflection theory. The convergence of the method is tested numerically