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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[0]==10000,x'[v]==f,
x[0]==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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