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Re: Imposing boundary condition at infinity


Dear Mathgroup:

Hi, I tried this method to solve nonlinear PDEs(12/20/2005), but there are
still some problems, I couldn't find the general solution. My question is
du/dt = -(1+u)*du/dx,u=0 as x-> +-infinity, u=Exp(-x^2) as t=0.

My code:
NDSolve[{D[u[x,t], t] == -(1 + u[x, t])*D[u[x, t],x], u[-ini, t] == u[ini,
t] == 0, u[x, 0] == Exp[-x^2]}, u, {x, -.0001, .0001} , {t, -.0001, .0001},
MaxSteps -> Infinity]

How can I improve?

Thanks
Tony



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