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)|
|Number of pages||8|
|Journal||Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)|
|State||Published - Dec 1 2004|
ASJC Scopus subject areas
- Theoretical Computer Science
- Computer Science(all)