Abstract
We present an analysis of an Alternating Direction Implicit (ADI) scheme for a linear, singularly perturbed reaction-diffusion equation. By providing an expression for the error that separates the temporal and spatial components, we can use existing results for steady-state problems to give a succinct analysis for the time-dependent problem, and that generalizes for various layer-adapted meshes. We report the results of numerical experiments that support the theoretical findings. In addition, we provide a numerical comparison between the ADI and Euler techniques, as well details of the computational advantage gained by parallelizing the algorithm.
| Original language | English (Ireland) |
|---|---|
| Number of pages | 12 |
| Journal | International Journal Of Numerical Analysis And Modeling |
| Volume | 7 |
| Publication status | Published - 1 Jan 2010 |
Authors (Note for portal: view the doc link for the full list of authors)
- Authors
- Linss, T;Madden, N