How to solve ODE on array variables

4 views (last 30 days)
Ideas and suggestion needed.
I am trying to compute ODE of several array variables. I can split the equations into single equation, but that will take forever to manually compute the matrix algebra and split the equations into it's sub component, as I have several vectors and numerous equations.
See an example in the attached picture.
The question is, can I declare X1 as a column vector variable and solve the ODE on MATLAB.
Thank you for your help

Accepted Answer

Sam Chak
Sam Chak on 6 Oct 2022
Perhaps you can do this way:
tspan = [0 0.1];
x0 = [2 1.5 1 0.5];
[t, x] = ode45(@odefcn, tspan, x0);
plot(t, x), grid on,
xlabel({'$t$'}, 'interpreter', 'latex')
ylabel({'$\mathbf{x}(t)$'}, 'interpreter', 'latex')
legend({'$x_{11}(t)$', '$x_{12}(t)$', '$x_{21}(t)$', '$x_{22}(t)$'}, 'interpreter', 'latex', 'fontsize', 14, 'location', 'northwest')
function xdot = odefcn(t, x)
xdot = zeros(4, 1);
A1 = [0 2; -2 0];
A2 = diag([0 2]*[1; 1]*[15 20]);
A = [A1 zeros(2); zeros(2) A2];
xdot = A*x;
end

More Answers (0)

Categories

Find more on Programming in Help Center and File Exchange

Products


Release

R2022a

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!