Calculations with Interpolating Functions

• To: mathgroup at smc.vnet.net
• Subject: [mg88470] Calculations with Interpolating Functions
• From: João Paulo Casquilho <jp at fct.unl.pt>
• Date: Tue, 6 May 2008 06:39:26 -0400 (EDT)

```Hi

I obtain an Interpolating function as a solution of a differential equation
with the command NDSolve, lets call it =93solution=94, which gives x(t). Next I
want to use this solution for further calculations. With the commands
=93result=Evaluate[x(t)/. First[solution]]=94 or =93result=  x(t)/.solution,
{t,0,tmax}=94 I do the plot x(t) without any problems. Now, with version 5.2 I
manage to integrate x(t) or linear functions of it.  But when I try to
integrate non linear functions of x(t), like x(t)^2 or Sin[x(t)] (which is
what I want),  Mathematica is unable to give a numerical result, all I get
is an integral saying that there is an InterpolatingFunction in the
integrand. With Mathematica 6 the linear integration does not work either.

Any help would be appreciated.

Best Regards

Joao Paulo

```

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