Solve the following problem:
Q: An electrical cable, experiencing a uniform volumetric generation q, is half buried in an insulating material while the upper surface is exposed to a convection processes (T8, h).
(a) Derive the explicit, finite-difference equations for an interior node (m, n), the center node (m = 0), and the outer surface nodes (M, n) for the convection and insulated boundaries.
(b) Obtain the stability criterion for each of the finite difference equations. Identify the most restrictive criterion.
