Name
Abstract | ||
|---|---|---|
The numerical solution of a linear singularly-perturbed reaction–diffusion two-point boundary value problem is considered. The method used is adaptive movement of a fixed number of mesh points by monitor-function equidistribution. A partly heuristic argument based on truncation error analysis leads to several suitable monitor functions, but also shows that the standard arc-length monitor function is unsuitable for this problem. Numerical results are provided to demonstrate the effectiveness of our preferred monitor function.
|
Year | DOI | Venue |
|---|---|---|
2005 | https://doi.org/10.1007/s11075-005-7079-6 | Numerical Algorithms |
Keywords | Field | DocType |
reaction–diffusion problem,singular perturbation,adaptive mesh,monitor function,equidistribution | Truncation error,Boundary value problem,Mathematical optimization,Mathematical analysis,Monitor function,Singular perturbation,Heuristic argument,Reaction–diffusion system,Grid,Mathematics | Journal |
Volume | Issue | ISSN |
40 | 3 | 1017-1398 |
Citations | PageRank | References |
7 | 0.67 | 8 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Natalia Kopteva | 1 | 130 | 22.08 |
| Niall Madden | 2 | 29 | 7.41 |
| Martin Stynes | 3 | 273 | 57.87 |