utt = c2(uxx+uyy) for 0<x<l, 0<y<L
u(0,y,t) = u(l,y,t) = u(x,o,t) = u(x,L,t) = 0
u(x,y,0) = f(x,y); ut(x,y,0) = 0
f(x,y) = x(l-x)y(L-y)
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Governed by the waveequation. No losses. utt = c2(uxx+uyy) for 0<x<l, 0<y<L u(0,y,t) = u(l,y,t) = u(x,o,t) = u(x,L,t) = 0 u(x,y,0) = f(x,y); ut(x,y,0) = 0 f(x,y) = x(l-x)y(L-y) |
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The same as above, but with f(x,y) = x(l-x)y(L-y)cos(2pix/l) |
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| The same as above, but with a different initial state, so that wave-propagation is easily seen. Note the inversion of the wave when reflected by the edge. |