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MathGroup Archive 2006

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RE: How to use the max value from the solution of NDSolve ?

  • To: mathgroup at smc.vnet.net
  • Subject: [mg72194] RE: [mg72169] How to use the max value from the solution of NDSolve ?
  • From: "David Park" <djmp at earthlink.net>
  • Date: Thu, 14 Dec 2006 05:49:09 -0500 (EST)

You can always get better answers if you give actual evaluable code so that
responders can evaluate it. Then the responders can give you the actual code
that will do what you want. As it is we don't know what the function f is
and we don't know why Mathemataica stopped at 2.6532 instead of going to t =
10.

In any case, the first argument of the returned InterpolatingFunction
contains the domain for the interpolating function. You can fish it out
using Part.

David Park
djmp at earthlink.net
http://home.earthlink.net/~djmp/

From: Cham [mailto:martin465 at sympatico.ca]

Suppose I'm solving a differential equation with NDSolve :

NDSolve[{ x'[t] == f[ x[t] ],  x[0] == 3.4 ], { x }, {t, 0, 10}]

Mathematica then finds a solution like this :

Out[]=  {{ x -> InterpolatingFunction[{{ 0.,  2.6532}}, <>}}

Next, I need to make several graphs of the solution.  How can I point to the
max value t = 2.6532 without retyping that value each time, especially if I
change the initial condition x[0] == 3.4 and redo NDSolve again ?  What is
the name of the t_max found by Mathematica ?  Or how can I point to that
special value ?  Is there a way ?



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