An elastic string of length 10 metres is released from rest in a pulse (gate function) configuration, with the unit pulse just to the right of the centre of the string, between x = 5 and x = 6. The string is fixed at both ends. The governing partial differential equation is
The complete solution is a Fourier sine series in x (see the lecture notes):
This plot (for c = 1) is generated from the first thirty
terms in the Fourier series.
As one can see, the convergence is very slow.
The Maple file is available here.
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Created 2010 07 15 and most recently modified 2010 07 15 by
Dr. G.H. George