syntax error with using the ode45 function

hello,

I can't understand what I am doing wrong. the main code I am attaching is calling an external called "function". I added the external function as an additional file.

I am adding the error message as a photo.

pleas help!

thanks!!!

clear all
close all
clc

global M_rand index

n_iter=10; %number of iterations
var=1.5/100; %variation around the nominal value

M_rand=zeros(9,n_iter);

random_variables=zeros(9,n_iter);%columns of t1 w0 w11 t2 w12 w21 w22 T1 T2
random_variables_nom=[32.2,2797.64,1222.18,138.2,944.187,180.03,45.35,12221.82,1801.75]; %t1 w0 w11 t2 w12 w21 w22 T1 T2
random_variables_range=zeros(9,2);%columns of t1 w0 w11 t2 w12 w21 w22 T1 T2, while the first column in min and the second is max

for range_counter=1:1:9
random_variables_range(range_counter,1)=random_variables_nom(range_counter)*(1-var);
random_variables_range(range_counter,2)=random_variables_nom(range_counter)*(1+var);
end

for rand_counter=1:1:9
temp(rand_counter,:)=random_variables_range(rand_counter,1)+(random_variables_range(rand_counter,2)-random_variables_range(rand_counter,1))*rand(1,n_iter);
end
M_rand=temp;

g=9.8;
GM=0.039; %in MKS

q0=[0;(6.3782448*(10^6));10.585;60.03];

t_delta=0.01
t_span=[0:t_delta:150];
t=0;
F=@(t,q) [q(2);(-GM*(q(1)/(((q(1)^2)+q(3)^2)^1.5)))+(g*Functions(t_iter))*(q(2)/(((q(2)^2)+(q(4)^2))^0.5));q(4);(-GM*(q(3)/(((q(1)^2)+q(3)^2)^1.5)))+(g*Functions(t_iter))*(q(4)/(((q(2)^2)+(q(4)^2))^0.5))];

for counter_iter=1:1:n_iter
    index=counter_iter;

      for time=1:t_delta:length(t_span)
          t_iter=time;
          [t,q]=ode45(@(t,q) F(t,q),t_span,q0);
          plot(t,q(1,:),'g')
          hold on
          plot(t,q(1,:),'g')
      end

      figure

end

Answer 1

[Walter Roberson]

You define

F=@(t,q) [q(2);(-GM*(q(1)/(((q(1)^2)+q(3)^2)^1.5)))+(g*Functions(t_iter))*(q(2)/(((q(2)^2)+(q(4)^2))^0.5));q(4);(-GM*(q(3)/(((q(1)^2)+q(3)^2)^1.5)))+(g*Functions(t_iter))*(q(4)/(((q(2)^2)+(q(4)^2))^0.5))];

at a time when you have not yet defined t_iter . To use the current value of t_iter you need to move the definition of F to inside your for loop.

Your graphics are wrong. You have

          plot(t,q(1,:),'g')
          hold on
          plot(t,q(1,:),'g')

but q is a 2D array with the same number of rows that t has, with one column per output variable. Perhaps you want plot(t, q(:,1), 'g') . But why do you plot the same thing again?

You also have this plot inside a for loop, causing it to plot each time. But your output is nearly the same each time, so you cannot tell the difference between the lines.

You are looping over t_span but each time calling ode45 for the entire t_span . Why are you doing that? Are you working on a system that has two time dimensions, both of which just happen to be the same size?

Answer 2

[Eliraz Nahum]

first of all, thank you for replying. by the way, I am trying to learn Matlab by myself and not an experienced user of it.

so first of all let's give you a link to my original problem (not answered yet) so it may clarify what my final intention is.here is a link: my original problem

I guess that my problem is the fact that I am calling to an external time dependent function while performing the ODE45 one. so that's why I am trying to create a variable called t_iter, so my external function will get the relevant time.

as for the plot - you are right, there is a mistake. I should write plot(q(:,1),q(:,3),'g') for seeing Y vs X.

please help, I am lost.