Abstract
We conduct experimental study on numerical solution of the two dimensional convection-diffusion equation discretized by three finite difference schemes: the traditional central difference scheme, the standard upwind scheme and the fourth-order compact scheme. We study the computed accuracy achievable by each scheme, the algebraic properties of the coefficient matrices arising from different schemes and the performance of the Gauss-Seidel iterative method, the preconditioned GMRES iterative method, and the multigrid method, for solving linear systems arising from these schemes.
| Original language | English |
|---|---|
| Pages (from-to) | 11-30 |
| Number of pages | 20 |
| Journal | Applied Mathematics and Computation |
| Volume | 109 |
| Issue number | 1 |
| DOIs | |
| State | Published - Mar 1 2000 |
Keywords
- Convection-diffusion equation
- Finite difference discretization
- Iterative methods
- Preconditioning techniques
ASJC Scopus subject areas
- Computational Mathematics
- Applied Mathematics