Homework 1: Due on 9/12

Write (sequential) programs to solve the Finite Difference problem that was set up in Section 3.2. Choose grid spacings of 1cm, and 1mm. Time the two versions of the program, and comment on the timings and the memory needs. Also, investigate:

1. number of iterations that it took for each program to converge to the steady state solution (when do you stop iterating?).
2. look at the final results-is it easy to make sense of the output data? How different are the two results?
3. what happens to the two corners of the plate that have one edge at 100 degrees, and the other at 0 degrees?

Note that some of the above will depend on the machine you choose to run the program. If you find that the grid spacings specified above are too prohibitive for your machine, try out other ones.