[Getdp] Any existing example for solving an integrodifferential equation?

[nye]

Hi all, I am a newbie to Getdp, and what I want to do is to solve a 
integrodifferential equation as this:

d P(t,k)/d t = F(P,t,k)

'd' means partial derivative
Where F(P,t,k) is a integral function of P(t,k),t,k, for example,

        F(P,t,k) = INT P(k*x)*G(x) dx
   
'INT' means integration

So, for each step of tn,
P(tn,k)=P(tm,k)+dt*F(Pm,tm,k)
where m = n-1

I am now trying to get familiar with Gatdp, but
if there is an existing example doing this, it'll be better.

Thanks, any suggestions, hints, or warnings will be greatly appreciated.