Non linear wave propagation

(Difference between revisions)

Revision as of 01:43, 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](x[imax]=1.0)

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

c=1,t=0.25

@@ Line 1: / Line 1: @@
 == Problem definition ==
+:<math> \frac{\partial u}{\partial t}+ c \frac{\partial u}{\partial x}=0
-== Domain and grid ==
+</math>
+== Domain ==
+x=[0,1]
 == Initial Condition ==
+:<math> u(x,0)=e^{-360*{(x-0.25)}^2}</math>
 == Boundary condition ==
+u[0]=0,u[imax]=u[imax-1](x[imax]=1.0)
+== 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]]
-== Results ==
+== Reference ==