How can I graph a characteristic equation dx/dt=v?????
- To: mathgroup at smc.vnet.net
- Subject: [mg46527] How can I graph a characteristic equation dx/dt=v?????
- From: HPerea at uswcl.ars.ag.gov
- Date: Sun, 22 Feb 2004 11:27:25 -0500 (EST)
- Sender: owner-wri-mathgroup at wolfram.com
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