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Question: Problem with pdsolve and piecewise functions

Question:Problem with pdsolve and piecewise functions

Paulo Baumbach 50 Maple 18
piecewise pde pdsolve differential-equations
August 14 2020
1

Hello,

I have a nonhomogeneous heat conduction problem, where the thermal conductivity, the density, and the specific heat of the
material are piecewise functions.

The thermal conductivity derivative has a discontinuity that causes a problem in the pdsolve command (see the first test).

To avoid this problem, I did a second test where the product rule was calculated directly.

Is there a better way to deal with this problem?

thank you

problem.mw
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