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Re: simple PDE?

• To: mathgroup at smc.vnet.net
• Subject: [mg124959] Re: simple PDE?
• From: janos <janostothmeister at gmail.com>
• Date: Tue, 14 Feb 2012 06:39:21 -0500 (EST)
• Delivered-to: l-mathgroup@mail-archive0.wolfram.com
• References: <jh833o$omc$1@smc.vnet.net>

On Feb 12, 11:08 am, "Manuel G. Cerpa" <cerc... at gmail.com> 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
contradictory.

I hope this helps.

J=E1nos