Laplace Equation

This guy shows solutions to the Laplace equation u_xx + u_yy=0, u(x,0)=u(0,y)=u(1,y)=0,with value u(x,1)=f(x) given by the trigonometric polynomial b_1 sin (pi x) + ... b_7 sin(7 pi x)
where the y and b_n's are values on sliders.

Note that as y->0, the decay increases (decays faster) for terms sin(n pi x) with higher n.

sfb, 23jun07, Created with GeoGebra