Abstract
We introduce two collocation schemes for the computation of periodic solutions of neutral delay differential equations (NDDEs): one based on a direct discretisation of the underlying NDDE, and one based on a discretisation of a related delay differential difference equation (i.e. a delay differential equation (DDE) coupled with a difference equation). Numerical examples are used to demonstrate these schemes and their respective orders of convergence. Both collocation schemes are implemented in DDE-BIFTOOL, a numerical continuation tool for delay equations. Their use in a continuation setting is shown with one- and two-parameter bifurcation studies of a transmission line model. © 2006 Taylor & Francis.
Original language | English |
---|---|
Pages (from-to) | 1087-1101 |
Number of pages | 15 |
Journal | Journal of Difference Equations and Applications |
Volume | 12 |
Issue number | 11 Part 2 |
DOIs | |
Publication status | Published - Nov 2006 |