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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




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