Re: Imposing boundary condition at infinity
- To: mathgroup at smc.vnet.net
- Subject: [mg102558] Re: Imposing boundary condition at infinity
- From: dh <dh at metrohm.com>
- Date: Fri, 14 Aug 2009 05:57:42 -0400 (EDT)
- References: <h60es7$pjh$1@smc.vnet.net>
YH Tung wrote:
> 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
>
>
Hi,
you can not numerically solve a DE and give boundary values at infinity.
Daniel