can anyone help me with "ode45" ?

Hi

i do have a function like;

function [xdot,NOD]=random_func(t,x) 
.
.
.
end

and a "ode45" like

 [t,x]=ode45(@random_func,tspan,x0,cn3);
 

I would like to take "NOD" out given in my function;

How can I get it in a ".mat" ? is that possible? Or I need to use the Runge Kutta method manually?

Please a bit urgent, thanks in advance. If you want a clear understanding, I can upload a draft code.

[James Tursa]

Note that you cannot do anything random inside a derivative function that affects the derivative calculation. This violates an assumption that ode45 makes, will severly confuse it, and will cause it to either fail outright or give you a wrong answer.

[ADNAN KIRAL]

i see, will consider that. thanks for your reply.

Answer 1

[Star Strider]

Probably the easiest way would be to integrate your function first, the using the solved values for ‘t’ and ‘x’, run it again, recover the ‘NOD’ output, and save it.

Example —

function [xdot,NOD]=random_func(t,x) 
xdot(1,:) = t-x(1);                                         % Create Equation
xdot(2,:) = t+x(2);                                         % Create Equation
NOD = rand;                                                 % Create ‘NOD’
end

tspan = [0 1];
x0 = [1;1];
[T,X] = ode45(@random_func, tspan, x0);

figure
plot(T, X)
grid

NODv = zeros(numel(T),1);                                   % Preallocate

for k1 = 1:numel(T)
    [~,NOD(k1,:)] = random_func(T(k1),X(k1,:));             % Calculate ‘NOD’, Save As Vector
end

fprintf(1, '%.4f,%.4f\n', [T NOD]')                         % Save Data

I simply printed out the ‘NOD’ vector here (alternatively saving it as a ‘.csv’ file with the same statement although with an appropriate file identification number created by fopen), since I did not want to create the file and then have to delete it. Use the appropriate save syntax to create your ‘.mat’ file.

This illustrates the idea. You will likely need to experiment with it and tweak it to make it work with your functions.

[ADNAN KIRAL]

thanks for reply.

[Star Strider]

My pleasure.