This shows the time evolution of a solution for the heat
= βuxx given an initial
condition, and subject to the boundary conditions of the left
and right endpoints being fixed at zero.
Click and drag to adjust the current temperature at
different points. The light grey lines are different terms of
the Fourier series at the current moment — the linear
combination of these gives the black line.
Try creating "high-frequency" temperature curves and see
how much quicker they decay compared to the remaining
Try tracing out different sine waves to see how the Fourier
transform identifies them.
©2016 Kyle Miller