Finite Difference Solution

Question: How do we solve the finite difference equation derived?

First, by specifying initial conditions for all points inside the nodal network. That is to specify values for all temperature at time level p=0.

From the explicit equation, we can determine all temperature at the next time level p+1=0+1=1. The following transient response can then be determined by marching out in time p+2, p+3, and so on.