Linear wave propagation

(Difference between revisions)

Revision as of 00:37, 25 December 2005

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

x=[0,1]

$u(x,0)=e^{-360*{(x-0.25)}^2}$

u[0]=0,u[imax]=u[imax-1]

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

c=1,t=0.25

@@ Line 11: / Line 11: @@
 == Exact solution ==
+:<math> u(x,t)=e^{-360*{((x-c*t)-0.25)}^2}</math>
 == Numerical method ==
+c=1,t=0.25
 == Results ==
 [[Image:Linear_1d.jpg]]
 == Reference ==