Abstract
This paper investigates the stability of periodic delay systems with non-smooth coefficients using a multi-interval Chebyshev collocation approach (MIC). In this approach, each piecewise continuous interval is expanded in a Chebyshev basis of the first order. The boundaries of these intervals are placed at the points of discontinuity to recover the fast convergence properties of spectral methods. Stability is examined for a set of case studies that contain the complexities of periodic coefficients, delays and discontinuities. The new approach is also compared to the conventional Chebyshev collocation method.
Original language | English (US) |
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Pages (from-to) | 4408-4421 |
Number of pages | 14 |
Journal | Communications in Nonlinear Science and Numerical Simulation |
Volume | 16 |
Issue number | 11 |
DOIs | |
State | Published - Nov 2011 |
Externally published | Yes |
Keywords
- Chebyshev collocation
- Multi-domain
- Multi-interval
ASJC Scopus subject areas
- Numerical Analysis
- Modeling and Simulation
- Applied Mathematics