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Linear wave propagation

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Revision as of 06:25, 14 January 2006 by Harish gopalan (Talk | contribs)
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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

Initial condition.png Result wave.png

Reference

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