ode45 to solve a set of ODEs, I want to write a Matlab function to take the initial conditions x_0 as inputs and gives the final state x_1 at time T as the output, thus creating a discrete dynamical system f.
However, I'm having some trouble writing the function that would embed the initial conditions, the
ode45 solver, and the final state as the output.
% F is the function handle to the set of ODEs to be solved x_0 = some initial conditions here T = 10 function x_1 = f(x_0); [t, y] = ode45( F, [0 T], x_0 ); % store final state values in variables x_final = y( end, 4 ); y_final = y( end, 5 ); theta_final = y( end, 3 ); % now define the output of f to take the above final state values x_1 = [ x_final y_final theta_final ]; end
This doesn't seem to work. I get the messages:
(1) The function 'f' might be unused
(2) The value assigned here to 't' appears to be unused. Consider replacing it with ~.
What am I missing?