Solutions
of the wave equation are animated in the graphing window. The d'Alembert
solution is
u(x,t) = f(x-ct) + g(x+ct) . Use the three buttons to toggle display
of f(x-ct) (in red, moving right), g(x+ct) (in green, moving left),
and the sum (in yellow).
Grab
the [t] slider to select the time, or animate the wave using the [>>]
key.
The
right moving waveform is fixed as f(x) , but the left moving wave form
is of the form g(x) = A sin(ωx). Adjust the parameters A and ω
using the sliders at bottom, and adjust the speed c using the slider
at lower right.
Roll
the mouse over the graphing window to create crosshairs and a readout
of values of t and x.
©
2001 H. Hohn