Heat Equation

This guy shows solutions to the heat equation u_xx = u_t, u(0,t)=u(1,t)=0,with inital value f(x) given by the trigonometric polynomial b_1 sin (pi x) + ... b_7 sin(7 pi x)
where the t and b_n's are values on sliders.

Note the exponential decay increases (decays faster) for terms sin(n pi x) with higher n.

sfb, 23jun07, Created with GeoGebra