Stability analysis of finite difference schemes for two-dimensional advection-diffusion problems
✍ Scribed by Alain Rigal
- Publisher
- John Wiley and Sons
- Year
- 1991
- Tongue
- English
- Weight
- 745 KB
- Volume
- 13
- Category
- Article
- ISSN
- 0271-2091
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
An important class of physical phenomena in acoustics, #uid dynamics, and the transport of contaminants can be modelled by the partial di!erential equation [1}3]
Galerkin and Petrov Galerkin linite element mellods are used to obtain new linite difference schemes for the solution of linear twodimensional convection difusion problems. Numerical estimates are made of the rates of convergence of these schemes, uniformly with respect to the perturbation parameter
Two different explicit finite difference schemes for the numerical solution of the diffusion equation on a rectangular region, subject to local or nonlocal boundary conditions, the latter involving a double integral to simulate specification of mass in a curved region, are compared. These schemes, t