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Linear wave propagation

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== Boundary condition ==  
== Boundary condition ==  
-
u[0]=0,u[imax]=u[imax-1]
+
u[0]=0,u[imax]=u[imax-1](x[imax]=1.0)
== Exact solution ==
== Exact solution ==

Revision as of 00:38, 25 December 2005

Contents

Problem definition

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

Domain

x=[0,1]

Initial Condition

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

Boundary condition

u[0]=0,u[imax]=u[imax-1](x[imax]=1.0)

Exact solution

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

Numerical method

c=1,t=0.25

Results

Linear 1d.jpg

Reference

My wiki