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.




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