Problem 6:

Again use the symmetric 9-point molecule discussed in class and in "The Fully Averaged Implicit Scheme" by M. Alcubierre, to evolve a moving pulse. This time, implement radiation boundary conditions, and consider shift vector (beta) = 0, -.5,.5, -.99,.99, -1.0, 1.0, -1.3, 1.3, and compare the behavior for waves with direction along and opposite the shift direction.