Non linear wave propagation

(Difference between revisions)

Revision as of 01:49, 25 December 2005

$\frac{\partial u}{\partial t}+ u \frac{\partial u}{\partial x}=0$

x=[-5,10]

$u(x,0)=0 ,x <=0$

$u(x,0)=1 ,x >0$

u[0]=0

$u(x,t)=e^{-360*{((x-c*t)-0.25)}^2}$

c=1,t=0.25

@@ Line 8: / Line 8: @@
 :<math> u(x,0)=1 ,x >0  </math>
 == Boundary condition ==
-u[0]=0,u[imax]=u[imax-1](x[imax]=1.0)
+u[0]=0
 == Exact solution ==