This example is a classic one-dimensional transient heat diffusion
problem where a solid rod of unit length is kept at fixed temperature
at the right end, *T = 25*, and losing heat from a constant outward
heat flux *q _{n} = 1* at the other end. After the simulation
the computed results can be compared with the analytic reference
solution

$$ T_{ref} = (24+x) + \sum_{n=1}^\infty 8/(1-2n)^2/\pi^2cos((n-1/2)\pi x)e^{-((n-1/2)^2\pi^2)t}$$

This model is available as an automated tutorial by selecting **Model Examples and Tutorials…** >
**Heat Transfer** > **Transient Heat Diffusion in a Rod**
from the **File** menu, and also as the MATLAB simulation m-script example ex_heattransfer1.
Step-by-step tutorial instructions to set up and run this model are linked below.