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Re: NDSolve and derivative error

  • To: mathgroup at smc.vnet.net
  • Subject: [mg41415] Re: [mg41379] NDSolve and derivative error
  • From: Bobby Treat <drmajorbob at mailblocks.com>
  • Date: Sun, 18 May 2003 05:04:14 -0400 (EDT)
  • Sender: owner-wri-mathgroup at wolfram.com

r is not numerical, so NDSolve can't deal.

Bobby

-----Original Message-----
From: Racer X <rajduc at yahoo.com>
To: mathgroup at smc.vnet.net
Subject: [mg41415] [mg41379] NDSolve and derivative error


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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