This shows the time evolution of a solution for the heat
equation *u _{t}*
=

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 "low-frequency" components.

Try tracing out different sine waves to see how the Fourier transform identifies them.

©2016 Kyle Miller