       Iterating NDSolve

• To: mathgroup at smc.vnet.net
• Subject: [mg7117] Iterating NDSolve
• From: darrmis at aol.com (Darrmis)
• Date: Sun, 11 May 1997 02:57:16 -0400 (EDT)
• Organization: AOL http://www.aol.com
• Sender: owner-wri-mathgroup at wolfram.com

```Can anyone help?  I set up a system of two equations after defining the
expressions f and g.  NDSolve[{t'[v]==g, t==10000,x'[v]==f,
x==0,{t,x},{v,0,20}]

The problem is, both f and g also depend on a parameter that
I call theta (theta actually represents a chemical concentration, this is
a kinetics problem). I can simply vary theta in my definition of f and g
and solve the equations several times to see how solution varies with
theta. I did this (by rewriting the input for theta and the NDsolve
command about 50 times to vary theta from 0 to 50). I can then evaluate
x[v] at several values of v for each theta and make a list for each theta
and apply the function ListPlot3D.  This is very inefficient way to graph
x[v,theta].  Is there a simple way to do this in 3 or 4 command lines.

I'd like in general to numerically solve ODE's and then plot results as
function of two variables.  (Is it possible to define a function of the
variable theta as the solution to the NDSolve command?  When I try to do
this I get error message.).  Any help would be greatly appreciated.

```

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