Abstract
A time-splitting method for nonlinear advection-diffusion-reaction equations is formulated and analyzed. The nonlinear advection-reaction part of the problem is solved using a new generalized nonstandard method based on a Lagrangian formulation and a linearizing map. The diffusion part is handled with standard finite difference schemes. This approach leads to significant qualitative improvements in the behavior of the numerical solutions.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 465-472 |
| Number of pages | 8 |
| Journal | Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) |
| Volume | 2907 |
| State | Published - Dec 1 2004 |
ASJC Scopus subject areas
- Theoretical Computer Science
- General Computer Science