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.
|Translated title of the contribution||Collocation schemes for periodic solutions of neutral delay differential equations|
|Pages (from-to)||1087 - 1101|
|Number of pages||15|
|Journal||Journal of Difference Equations and Applications|
|Publication status||Published - Nov 2006|