As t approaches infinity the solution to the IBVP of Exercise 5 approaches the solution of the following elliptic BVP:
(a) Beginning with the solution of Exercise 5,
develop a system of 16 FDEs for this BVP.
(b) Use a conservation law argument to develop the same system of FDEs
for this BVP.
(c) Use centered difference formulas for and
to develop the
system of FDEs found in parts (a) and (b).