Abstract
A nonrelativistic model for the classical electrodynamic equations of motion
for a radiating particle is investigated. This model is suitable for discussion in
a beginning differential equations course and beginning physics course on
particle dynamics. It is of interest as it is linear of third order and the third
derivative acts as a damping term. Boundedness of the solution becomes of
critical importance and conditions are determined for bounded solutions in the
unforced and simple sinusoidal forcing cases. The sensitivity of numerical
solutions is discussed and further investigations suitable for undergraduate
research projects or small student group investigations are suggested.
| Identifer | oai:union.ndltd.org:netd.ac.za/oai:union.ndltd.org:tut/oai:encore.tut.ac.za:d1002012 |
| Date | 16 November 2001 |
| Creators | Fay, TH, Mead, L |
| Publisher | Taylor & Francis |
| Source Sets | South African National ETD Portal |
| Language | English |
| Detected Language | English |
| Type | Text |
| Format | |
| Rights | c2003 Taylor & Francis Ltd |
| Relation | International Journal of Mathematical Education in Science and Technology |
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