Riemann sum to find the area between two curves
4 visualizzazioni (ultimi 30 giorni)
Mostra commenti meno recenti
I'm trying to find the Riemann sum of the area between two curves as shown in the diagram below. Xn is rescaled and a new data set is the difference between Xc and rescaled data. I need to take the Riemann sum over the region between these two (Xc and (Xn rescaled) data).
I have coded that as below, but I'm not sure how to take the Riemann sum of these data poionts.
phi = linespace(1,100,1)%array of 100 values
sol_n=xn.sol_all; %this is a 1500*100 data set
sol_c=xc.sol_all; %this is a 1500*100 data set
for i =1:length(phi)
Xn_new= (sol_n(:,i)).*((sol_c(end,i))./(sol_n(end,i))); %Rescaling Xn
Xc_new = sol_c(:,i);
Data = Xc_new- Xn_new;
end
Your help is greatly appreciated.
0 Commenti
Risposta accettata
Cameron
il 3 Mar 2023
x = 0:0.01:1; %some x data
s1 = x./(x+exp(1-7*x)); %some y data
s2 = x./(x+exp(1-10*x)); %some other y data
plot(x,s1,'b',...
x,s2,'r')
sumS1 = trapz(x,s1); %trapezoidal integration
sumS2 = trapz(x,s2); %trapezoidal integration
sumBetween = sumS2 - sumS1 %subtract the two for answer
Più risposte (0)
Vedere anche
Community Treasure Hunt
Find the treasures in MATLAB Central and discover how the community can help you!
Start Hunting!