Theory and numerics for multi-term periodic delay differential equations, small solutions and their detection
| dc.contributor.author | Ford, Neville J. | * |
| dc.contributor.author | Lumb, Patricia M. | * |
| dc.date.accessioned | 2015-03-09T16:41:46Z | |
| dc.date.available | 2015-03-09T16:41:46Z | |
| dc.date.issued | 2006 | |
| dc.identifier.citation | Chester: University of Chester, 2006 | en |
| dc.identifier.uri | http://hdl.handle.net/10034/346436 | |
| dc.description.abstract | We summarise a theoretical treatment that analyses whether the equation has small solutions. We consider discrete equations that arise when a numerical method with fixed step size is applied to approximate the solution to (†) and we develop a corresponding theory. Our results show that small solutions can be detected reliably by the numerical scheme. We conclude with some numerical examples. | |
| dc.language.iso | en | en |
| dc.publisher | University of Chester | en |
| dc.relation.ispartofseries | Applied Mathematics Group | en |
| dc.relation.ispartofseries | 2006: 3 | en |
| dc.relation.url | http://www.chester.ac.uk | en |
| dc.subject | delay differential equations | en |
| dc.subject | small solutions | en |
| dc.subject | super-exponential solutions | en |
| dc.subject | numerical methods | en |
| dc.title | Theory and numerics for multi-term periodic delay differential equations, small solutions and their detection | en |
| dc.type | Report | en |
| dc.contributor.department | University of Chester | en |
| html.description.abstract | We summarise a theoretical treatment that analyses whether the equation has small solutions. We consider discrete equations that arise when a numerical method with fixed step size is applied to approximate the solution to (†) and we develop a corresponding theory. Our results show that small solutions can be detected reliably by the numerical scheme. We conclude with some numerical examples. |
