How do I store the outputs of my ODEs in a structured array?

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Jacob
Jacob 2023-3-12
评论： Star Strider 2023-3-12
I can plot it but i need to be able to store the value in an array and im not exaxally sure how you do this. Any help would be much appriciated.
function [dAsdt]=rates(tspan, y)
% Rate constants
K1 = 0.4526;
K2 = 0.3958
K3 = 0.3523
%ODE for each spicies in reactor
dA1dt = -K1*y(1)*y(2) -K2*y(1)*y(4) -K3*y(1)*y(5);
dA2dt = -K1*y(1)*y(2);
dA3dt = K1*y(1)*y(2) +K2*y(1)*y(4) +K3*y(1)*y(5);
dA4dt = K1*y(1)*y(2) -K2*y(1)*y(4);
dA5dt = K2*y(1)*y(4) -K3*y(1)*y(5);
dA6dt = K3*y(1)*y(5);
%combine all ODEs into one matrix
dAsdt = [dA1dt; dA2dt; dA3dt; dA4dt; dA5dt; dA6dt]
%%script file to solve ODEs
%setting the initil conditions
y0 = [3 1 0 0 0 0];
% timespan to solve over
tspan = [0 0.2];
%call function solver and pass our system of reaction equations
[tout,yout]=ode45('rates',tspan,y0);
plot(tout, yout(:,1),'r-',tout,yout(:,2),'b--',tout,yout(:,3),'g:',tout,yout(:,4),'c-',tout,yout(:,5),'m--',tout,yout(:,6),'y:')
legend('[MeOH]','[TG]','[BD]','[DG]','[MG]','[GL]')
xlabel('time (sec)')
ylabel('concentration (Kmol/m^3)')
title('Formation of biodiesel reaction')

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采纳的回答

Star Strider
Star Strider 2023-3-12
It would be easiest to use a cell array —
[tout,yout]=ode45('rates',tspan,y0);
Results = {t,yout};
This also works in a loop, if for example you wanted to change a parameter between iterations:
for k = 1:N
[tout,yout]=ode45(@(t,y)rates(t,y,p(k),tspan,y0);
Results{k,:} = {t,yout];
end
If you want to save the results to a .mat file, use the save function.
.

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