Abstract
A numerical method for boundary value problems for quasilinear systems of singularly perturbed ordinary differential equations is presented. The method is based on collocation with polynomial splines. The stability properties of the associated difference operator are examined and a stepsize algorithm to achieve a certain over-all accuracy is developed. The number of gridpoints required by the algorithm is estimated.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 864-882 |
| Number of pages | 19 |
| Journal | SIAM Journal on Numerical Analysis |
| Volume | 21 |
| Issue number | 5 |
| DOIs | |
| State | Published - Jan 1 1984 |
| Externally published | Yes |
ASJC Scopus subject areas
- Numerical Analysis
- Computational Mathematics
- Applied Mathematics