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I am trying to solve a one-dimensional heat equation problem with a piecewise continuous input of temperatures.  Dr. Robert Lopez works through a solution of a nonhomogeneous boundary value problem using a sinusoidal equation for the temperature-time variation (Advanced Engineering Mathematics, Chapter 27, Section 27.2).  I would like to develop the same solution using a temperature time history equation which consists of pairs of temperature-time points.  Is there a way to define the time-history as one of the boundary equations?  I was thinking of reading them from an array, but I would like the ability of evaluating the thermal gradient through the wall at any time point, not just the discrete values that are known.

Thank you for your assistance.

Wayne

 

 
differential-equation pde pdsolve

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