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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: [mg72213] Re: How to use the max value from the solution of NDSolve ?
  • From: dh <dh at metrohm.ch>
  • Date: Thu, 14 Dec 2006 05:49:43 -0500 (EST)
  • Organization: hispeed.ch
  • References: <elosjf$on7$1@smc.vnet.net>


Hi Cham,

the output of NDSolve is an expression and parts of an expression may be 

accessed by Part. E.g.:

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

sol[[1, 1, 2, 1, 1, 2]]

give the x-max.

Daniel



Cham wrote:

> 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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