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Cooling of a Rod with Initial Temperature Distribution

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b
1
5
b
2
2
b
3
4
b
4
0
time
0
This Demonstration shows the cooling of a rod of length
π
with a specified initial temperature distribution. The temperature of the two ends are kept at 0, and the initial distribution is given by the first four elements
(
b
i
,
i∈{1,2,3,4}
) of its sine Fourier series. The lower diagram shows the temperature distribution at a given moment. (The initial condition applies when time equals 0.)
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