I want to do the following,
I have a set of 20 first order differential equations and I want to estimate some of the parameters . I've the following initial and boundary conditions.
The initial conditions of 20 variables (at t=0)
Boundary values of 20 variables (at time , t = 2000s)
Using shooting method , I want to estimate the values of 10 parameters using least square minimization ,using fmincon. The objective function will
minimize the difference between the target(Boundary values of 20 variables (at time , t = 2000s)) and the values obatined at the end of shoot using ode15s.
I'm not sure how to implement this. Could someone help?
I have a function which solves the 10 differential equation using ode15s, how do I proceed after this step?