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MathGroup Archive 2004

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Re: How can I graph a characteristic equation dx/dt=v?????

  • To: mathgroup at smc.vnet.net
  • Subject: [mg46560] Re: How can I graph a characteristic equation dx/dt=v?????
  • From: Jens-Peer Kuska <kuska at informatik.uni-leipzig.de>
  • Date: Mon, 23 Feb 2004 22:33:42 -0500 (EST)
  • Organization: Universitaet Leipzig
  • References: <c1alsf$3o2$1@smc.vnet.net>
  • Reply-to: kuska at informatik.uni-leipzig.de
  • Sender: owner-wri-mathgroup at wolfram.com

Hi,

may be

http://support.wolfram.com/mathematica/graphics/2d/directionfield.html

help you.

Regards
  Jens

HPerea at uswcl.ars.ag.gov wrote:
> 
> I have a grid where I know the velocity v[x,t] in each node.  What I want
> to do is to graph the characteristic equation dx/dt=v using the velocity
> values. I couldn't graph this equation correctly with Mathematica. In my
> problem, if v->0 the characteristic curve has to be vertical and  if
> v->infinite  the curve is horizontal.
>                            o (x2,t2)
>                          / |
>                        /   |
>                      /     | 1   This is a picture of my problem.
>                    /       |     I know the velocity at the point (x1,t1)
>                  /         |     but I don't know the point (x2,t2).
>        (x1,t1)  o ---------o
>                   1 / v
> 
> Do you think that I can graph the characteristic curves for this problem
> using Mathematica??
> 
> I really appreciate your help....
> 
> Thanks
> 
> Hugo Perea-Estrada
> PhD. Student
> The University of Arizona
> Agricultural and Biosystems Engineering Department
> Email: HPerea at uswcl.ars.ag.gov
>              hugop at ag.arizona.edu
>              hugo at email.arizona.edu


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