The one dimensional heat equation: Neumann and Robin ...

Neumann Boundary Conditions Robin Boundary Conditions Remarks At any given time, the average temperature in the bar is u(t) = 1 L Z L 0 u(x,t)dx. In the case of Neumann boundary conditions, one has u(t) = a 0 = f. That is, the average temperature is constant and is equal to the initial average temperature.

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