Error in numerical integration that I do not understand
1 vue (au cours des 30 derniers jours)
Afficher commentaires plus anciens
I am trying to integrate a function numerically and I get an error that I do not understand. The error is :
Undefined function or variable 'z'.
How can "z" be undefined if this is the parameter of the function I am trying to numerically integrate?!
clear ; close all;
k1 = 1; mu1 = 1;
k2 = 1; mu2 = 1;
lamdap = 1; lamdae = 10;
ro = 10.^(5./10);
cth = 1; alpha = 2.^(2.*cth);
F1=0;F2=0;
for q=0:5
for w=0:5
F1_in=@(z) (((2.*(((mu2.*(1 + k2)).^(mu1 - mu2 + q - w)).*mu1.*(1 + k1).^((mu1 + 1)./2).* mu2.*(1 + k2).^((mu2 + 1)./ 2).*((2.*mu1.*sqrt(k1.*(1 + k1))).^(2.*q + mu1 - 1)).*((2.*mu2.*sqrt(k2.*(1 + k2))).^(2.*w + mu2 - 1))))./((k1.^((mu1 - 1)./2)).*(k2.^((mu2 - 1)./2)).*exp(k1.*mu1).*exp(k2.*mu2).* gamma(q + mu1).*gamma(w + mu2).*factorial(q).*factorial(w).*2.^(2.*q + mu1 - 1).*2.^(2.*w + mu2 - 1)))).*((lamdap.* lamdae)./((-lamdap.*alpha.*ro) + (lamdae.*(alpha - 1)))) .*(1./(2.*ro)).*(1./(ro.^(mu1 + q - 1))).*(lamdap./(alpha - 1)).^(-mu1 - q - 1).*z.^(-mu1 - q - 1).* MeijerG({[mu1 - mu2 + q - w + 1, 1], []}, {[1 + mu1 + q], []}, (z.* ro.*lamdap./(mu1.*mu2.*(1 + k1).*(1 + k2).*(alpha - 1))));
F1=F1+F1_in(z);
end
end
for q=0:5
for w=0:5
F2_in=@(z) (((2.*(((mu2.*(1 + k2)).^(mu1 - mu2 + q - w)).*mu1.*(1 + k1).^((mu1 + 1)./2).* mu2.*(1 + k2).^((mu2 + 1)./ 2).*((2.*mu1.*sqrt(k1.*(1 + k1))).^(2.*q + mu1 - 1)).*((2.*mu2.*sqrt(k2.*(1 + k2))).^(2.*w + mu2 - 1))))./((k1.^((mu1 - 1)./2)).*(k2.^((mu2 - 1)./2)).*exp(k1.*mu1).*exp(k2.*mu2).* gamma(q + mu1).*gamma(w + mu2).*factorial(q).*factorial(w).*2.^(2.*q + mu1 - 1).*2.^(2.*w + mu2 - 1)))).*((lamdap.* lamdae)./((-lamdap.*alpha.*ro) + (lamdae.*(alpha - 1)))) .*(1./(2.*ro)).*(1./(ro.^(mu1 + q - 1))).*(lamdae./(alpha .*ro)).^(-mu1 - q - 1).*z.^(-mu1 - q - 1).*MeijerG({[mu1 - mu2 + q - w + 1, 1], []}, {[1 + mu1 + q], []}, (z.* lamdae./(mu1.*mu2.*(1 + k1).*(1 + k2).*(alpha))));
F2=F2+F2_in(z);
end
end
P = @(z)( F1(z) - F2(z));
result = integral(P,1,100);
semilogy(ro,result,'LineWidth',1.5)
2 commentaires
Torsten
le 1 Avr 2019
Note that the loops over q and w are superfluos ; F1_in and F2_in will take only one combination of w and q in the integration, namely q=w=5.
Réponse acceptée
darova
le 30 Mar 2019
F1 = @(z) 0; F2 = @(z) 0;
F1 = @(z) F1(z) + F1_in(z);
F2 = @(z) F2(z) + F1_in(z);
Plus de réponses (0)
Voir également
Catégories
En savoir plus sur Creating and Concatenating Matrices dans Help Center et File Exchange
Community Treasure Hunt
Find the treasures in MATLAB Central and discover how the community can help you!
Start Hunting!