Name
Title | ||
|---|---|---|
Generalized Nonstandard Numerical Methods for Nonlinear Advection-Diffusion-Reaction Equations |
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. |
Year | DOI | Venue |
|---|---|---|
2003 | 10.1007/978-3-540-24588-9_53 | Lecture Notes in Computer Science |
Keywords | Field | DocType |
numerical method | Convection–diffusion equation,Nonlinear system,Lagrangian,Mathematical analysis,Finite difference,Advection,Finite difference method,Numerical analysis,Reaction–diffusion system,Mathematics | Conference |
Volume | ISSN | Citations |
2907 | 0302-9743 | 1 |
PageRank | References | Authors |
0.40 | 1 | 2 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| H. Kojouharov | 1 | 47 | 13.04 |
| Bruno D. Welfert | 2 | 6 | 2.44 |