I want to solve a integro-differential equation numerically.
The equation is given by :
Hereby, $f(t-t_1)$ will be given a realisation of some random numbers, e.g. $f(t-t_1)$ originally was a rondom variable, and I want to solve the integer differential equation for one realisation. So the function will most certainly be a messy polynomial, where the solution cannot be obtained easily with the Laplace-transform used to solve the equation.
How is the best procedure to numerically solve this (or any) integer differential equation?
Thanks already Martin