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Non linear wave propagation

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Revision as of 01:48, 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,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

Nonlinear 1d.jpg

Reference

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