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Re: NDSolve and derivative error

  • To: mathgroup at smc.vnet.net
  • Subject: [mg41403] Re: [mg41379] NDSolve and derivative error
  • From: Selwyn Hollis <selwynh at earthlink.net>
  • Date: Sun, 18 May 2003 05:02:20 -0400 (EDT)
  • Sender: owner-wri-mathgroup at wolfram.com

Hi Raj,

There's an r in your equation that you forgot to define.

-----
Selwyn Hollis
http://www.math.armstrong.edu/faculty/hollis


On Saturday, May 17, 2003, at 05:47  AM, Racer X wrote:

>
> Hi,
>
> I have been using Mathematica on and off for about 10
> years, but am not really an expert.  I have been
> unable to get beyond this problem:
>
> NDSolve[{0.005*x[t]*Derivative[1][x][t] == 0.148 +
> 0.00005*UnitStep[t] -
> (0.006/r)*x[t]*Derivative[1][x][t], x[0] == 1.*^-6},
> x, {t, 0, 0.05}, AccuracyGoal -> 20, WorkingPrecision
> -> 25, MaxSteps -> Infinity]
>
> I get the following error:
>
> NDSolve::"ndnum" : "Encountered non-numerical value
> for a derivative at t == \0."
>
> This problem relates to the speed which water will
> rise in a capillary tube.  It has an analytical
> solution, but I want to be able to vary the UnitStep
> input to an arbitrary pulse and need the above to
> work.
>
> Any suggestions?  Thanks!
>
> Raj
>
>
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