MATLAB: Executing a function in iterations

for loopfunctioniterationMATLAB

Problem Statement: I have a system of differential equations in which i need to run a particular function for n iterations using preferably for loop. So basically i want my main script to run for all the different values of function.
I have used a similar model equation in this question and just posting my attempted code here.
I must mention that i have MATLAB 2016a in which i can't use function file in the main script.
function:MWE_fn.m
function rk1 = MWE_fn(t,y)
r2=0.5;b2=1;d_A=0.05; 
 c=0.5;
rk1(1)=r2*y(1)*(1-b2*y(1))-c*y(1)*y(2);
rk1(2)= A0(t)- d_A*y(2);
rk1=rk1(:);
end
function fa=A0(t)
    if t>round(t)
        fa=0.4;
    else 
        fa=0;
    end
    
end
Script: MWE_body.m
timerange= 0:0.5:360;
IC= [0.1,0];%initial conditions 
for idx=1:length(timerange)-1
    [tTemp,yTemp] =ode45(@(t,y) MWE_fn(t,y),timerange(idx:idx+1), IC);
    t(idx) = tTemp(end); 
    y(idx,:) = yTemp(end,:);
    IC = y(idx,:);
end
plot(t,y(:,1),'b');
hold on
plot(t,y(:,2),'r');
The above is an working example and i attempted to use a for loop in the function file but it showed me the error that i cannot define a function like that. What i want is that the following function, should run for different values of fa like from 0.1 to 1 and give plots for all those values separately.
function fa=A0(t)
    if t>round(t)
        fa=0.4;
    else 
        fa=0;
    end
    
end
Thank you for any help you can provide.

Best Answer

Your formulas are discontinuous. You cannot use any of the ode* functions for them. The discontinuities occur exactly at the integer times and nowhere else.
If I recall correctly you asked about the same system with different phrasing before, talking about a system that is driven the first half of the day and not driven the second half. You were advised then on how to proceed, and you were advised then that ode* routines evaluate at intermediate times, not just the boundaries you give for tspan. For example ode45 will try to evaluate at roughly t=1.08 and your test is not prepared that; 1.08>round(1.08) yes but 1.0>round(1.0) false but 1.0 is part of the first half day and so should be forced.
Do not use an if in an ode routine. Instead have two different functions, one with forcing and one without, and alternate calling them for the half days.
Related Question