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Non linear wave propagation

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Revision as of 01:51, 25 December 2005 by Harish gopalan (Talk | contribs)
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Contents

Problem definition

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

Domain

x=[-5,10]

Initial Condition

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

Boundary condition

u[0]=0

Exact solution

 u(x,t)=0 ,x<=0
 u(x,t)=x/t, 0<x<t
 u(x,t)=1.0 ,\mbox{otherwise}

Numerical method

Results

Nonlinear 1d.jpg

Reference

My wiki