Problem 4                  

	R=0.8 Implicit Central Difference	R=0.8 Crank_Nicolson	R=1.5 Implicit Central Difference	R=1.5 Crank_Nicolson
mesh_size=200	gif	gif	gif	gif
mesh_size=400	gif	gif	gif	gif
mesh_size=800	gif	gif	gif	gif
mesh_size=1600	gif	gif	gif	gif

Problem 5
Amplification factor for Upwind(square)

	0	Pi/2	Pi
R=0.1	1.0000	0.8200	0.6400
R=0.2	1.0000	0.6800	0.3600
R=0.5	1.0000	0.5000	0.0000
R=0.9	1.0000	0.8200	0.6400
R=0.99	1.0000	0.9802	0.9604

Amplification factor for Lax_Fridrich(square)

	0	Pi/2	Pi
R=0.1	1.0000	0.0100	1.0000
R=0.2	1.0000	0.0400	1.0000
R=0.5	1.0000	0.2500	1.0000
R=0.9	1.0000	0.8100	1.0000
R=0.99	1.0000	0.9801	1.0000

Graph

	Upwind	Lax_Fridrich
R=0.1	gif	gif
R=0.2	gif	gif
R=0.5	gif	gif
R=0.9	gif	gif
R=0.99	gif	gif