Abstract
A monotone approximation is proposed for a system without monotone nonlinearity. A new concept of ordered pair of supersolution and subsolution is introduced, and then the existence of numerical solutions is studied. A new monotone iteration is provided for solving the resulting problem. An approximation with high accuracy is investigated. The corresponding iteration possesses geometric convergence rate. The numerical results support the theoretical analysis.
| Original language | English |
|---|---|
| Pages (from-to) | 207-224 |
| Number of pages | 18 |
| Journal | Journal of Computational Mathematics |
| Volume | 18 |
| Issue number | 2 |
| State | Published - 2000 |
Keywords
- Monotone approximation
- Systems without monotone nonlinearity