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Evaluating an integral of a numeric function

Posted on 2009-06-25 08:54 By dcomerf (1)
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I want to evaluate an integral over a numerically calculated function. Specifically:

  • = proc (t) options operator, arrow; exp(-rho*t)*c(t)^(1-theta)/(1-theta) end proc
  • = int(Uflow(t), t = 0 .. 400, numeric = true)
  • evalf(Uzero)

where c(t) is calculated as a result of using dsolve/numeric to solve a system of 1st order o.d.e.s (and where the numerical values of rho and theta have been specified). However, Maple's just drawing the integral for me, which is not very helpful. Can anyone suggest what I'm doing wrong?

 

Thanks

David

 

 

 

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Robert Israel's picture

Integral involving dsolve solution

Comment on 2009-06-25 14:11 from Robert Israel (Maple Rating 4 2618)

You may get better results by solving a larger system of differential equations.  Thus to your system involving c(t), add the differential equation

diff(U(t),t) = exp(-rho*t)*c(t)^(1-theta)/(1-theta)

and boundary condition U(0) = 0.  Your Uzero will then be U(400).

 

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