This shows the time evolution of a solution for the wave
= α2uxx given an
initial condition, and subject to the boundary conditions of
the left and right endpoints being fixed.
Click and drag to adjust the current wave displacement at
different points along the curve. The light grey lines are
different terms of the Fourier series at the current moment
— the linear combination of these gives the black
Try creating standing waves, for instance picking out a
single Fourier mode.
Try creating small impulses and see how they reflect off of
Try creating the shape you would imagine a string would be
when it is about to be plucked.
©2016 Kyle Miller