Abstract
Nonlinear boundary value problems (NBVPs in abbreviation) with parameters are called parametrized nonlinear boundary value problems. This paper studies numerical verification of solutions of parametrized NBVPs defined on one-dimensional bounded intervals. Around turning points the original problem is extended so that the extended problem has an invertible Fréchet derivative. Then, the usual procedure of numerical verification of solutions can be applied to the extended problem. A numerical example is given.
| Original language | English |
|---|---|
| Pages (from-to) | 357-372 |
| Number of pages | 16 |
| Journal | Japan Journal of Industrial and Applied Mathematics |
| Volume | 14 |
| Issue number | 3 |
| DOIs | |
| Publication status | Published - 1997 |
| Externally published | Yes |
Keywords
- Numerical verification of solutions
- Parametrized nonlinear boundary value problems
- Regular branches
- Turning points
ASJC Scopus subject areas
- Engineering(all)
- Applied Mathematics