wave equation

for n=20

plot for n=20

for n=40

plot for n=40

for n=80

plot for n=80

for n=160

plot for n=160

the main diiferences in plots ,i came up with, in n=160 where oscillations are present and growing with time due to gibbs phenomena.

plots for n=20,40,80 gives the rough figure for step function as it also fails as time increases.

plot for n=80 is somewhat giving the right behaviour for the time step function