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Re: simple PDE?

  • To: mathgroup at
  • Subject: [mg124959] Re: simple PDE?
  • From: janos <janostothmeister at>
  • Date: Tue, 14 Feb 2012 06:39:21 -0500 (EST)
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  • References: <jh833o$omc$>

On Feb 12, 11:08 am, "Manuel G. Cerpa" <cerc... at> wrote:
> Hi members:
> I need your help with this problem:
> D[z[x,y],x] + D[z[x,y],y] + b*z[x,y] = 0, z[0,y]=1-Exp[-1000*y], z[x,
> 0]=0, 0<x<1, y>0, b>0.
> Using NDSolve with MethodOfLines, I have a error: mxst.
> How solve it?
> Best regards.

Why don't you solve the equation symbolically to get
z[x, y] -> E^(-b x) C[1][-x + y]
then you will see immediately that the boundary conditons are

I hope this helps.


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