Problem Statement:
1. Derive the time dependent heat diffusion equation for a uniform linear bar assuming constant thermal diffusivity.
2. Express the heat diffusion equation from C1 as an algebraic equation via explicit differencing.
3. Simulate the time dependent response of a uniform bar initially at 20C after its ends are raised then maintained at 40 and 100C respectively. Discretize the bar into 50 sections and show the simulated result for r=
=0.499, 0.500, and r=0.501
4. Using von Neumann stability analysis explain why simulation results are unstable when r is set larger than 0.5.
