Abstract
The Chebyshev collocation method in [21] to solve stiff initial-value problems is generalized by using arbitrary degrees of interpolation polynomials and arbitrary collocation points. The convergence of this generalized Chebyshev collocation method is shown to be independent of the chosen collocation points. It is observed how the stability region does depend on collocation points. In particular, A-stability is shown by taking the mid points of nodes as collocation points.
Original language | English |
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Pages (from-to) | 435-456 |
Number of pages | 22 |
Journal | Kyungpook Mathematical Journal |
Volume | 51 |
Issue number | 4 |
DOIs | |
State | Published - Dec 2011 |
Keywords
- Absolute stability
- BDF-type methods
- Chebyshev Collocation method
- Stiff initial-value problem