Integration of a function with variable parameter
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Md Nurul Anwar
on 29 May 2021
Commented: Md Nurul Anwar
on 29 May 2021
I have a function say f(tau)=lambda(tau) /exp(t-tau) where lambda is not an explicit function of tau. lambda has numeric values that are created inside a for loop and within each loop i need the integral value of f(tau) that considers all the value of lambda current and past. how do I do it? Please anyone can help?
I have attached an example code so it's easies to follow.
1 Comment
John D'Errico
on 29 May 2021
Please don't ask your question every two hours until you get an answer. You have now gotten answers on BOTH of these identical questions.
Accepted Answer
Alan Stevens
on 29 May 2021
Do you mean something like this?
H = @(tau, lam, tt) lam./exp(tt-tau);
T=50;
step=1000;
h=T/step;
t=0:h:T;
lambda = rand(1,step+1);
tau = 1;
y = H(tau,lambda,t);
I = cumtrapz(y)*h;
subplot(2,1,1)
plot(t,y),grid
subplot(2,1,2)
plot(t,I),grid
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