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Inv.Interpol.Function

  • To: mathgroup at smc.vnet.net
  • Subject: [mg36663] Inv.Interpol.Function
  • From: martinskogstad at hotmail.com (martin skogstad)
  • Date: Wed, 18 Sep 2002 02:09:44 -0400 (EDT)
  • Sender: owner-wri-mathgroup at wolfram.com

Dear NG


Mabye this is too simple, but I cant just figure it out

I want to get an inverse function for y[t] where 

y[t_]:=NIntegrate[R[x]^4,{x,0,t}] /. ndsolution[[1]]
and
R[t] is an interpolatingfunction(R>0 from NDSolve) on the interval 0=<t=<T

after that I hope to be able to calculate the integral :

a = (1/y[T])* 
        NIntegrate[R[InvFunction[y[t]]*Cos[y[t]], {y[t], 0, y[T]}]

it works with a constant instead of R[t].  

Hope you can help, and that the above is understandable.


Martin Skogstad


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