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My problem is to solve the heat equtaion in cylindrical coordinates.

This has been done by others for me, so a closed form solution is available, please see attached (please note the problem is 1 - D due to initial conditions depending only on r).

My b.c. are as follows:

For all time, fixed temperature at the inner and outer radius of the hollow cylinder

At time= 0, all the cyclinder is uniformly at the same tempeature as the outer radius.

Using these conditions I should determine the coefficients Am and c in the solution, but I am unsure on how to do in relation to my b.c.s.

At time 0 my b.c. are discontinuous, which I am unable to replicate by any choice of the coefficients. Still I am sure they are legal, as I dealt long time with other cases where the initla temperature distribution was the dirac function.

Any hint would be the most appreciated, thank you very much

Muzialis

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# Heat Equation - B.Cs

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