Dear all
I'm trying to do the below double integral.
The code I'm using is given below
K=75; al=3; de=2/al; N=75.0;
FhI=@(t) (1-hypergeom([1,de],1+de,1-2.^(K./t)));
mu=integral(FhI,1/10,N);
Nnu1=integral2(@(t,u)InteEpstu(t,u,K,de,mu),2,N,2,N);
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
function [Ingr]=InteEpstu(tvec,uvec,K,de,mu)
tL=size(tvec); uL=size(uvec); Ingr=zeros(tL(1),tL(2));
for i=1:tL(1)
for j=1:uL(1)
t=tvec(i,j); u=uvec(i,j); Eetat=Competavi(t,K,de,mu); Eetau=Competavi(u,K,de,mu);
thet=(2^(K/t)-1)*Eetat; theu=(2^(K/u)-1)*Eetau;
Ftn=@(y) (1-1./(1+thet*y)./(1+theu*y))./(y.^(1+de));
Htu=integral(Ftn,1/10,1)*de;
Ingr(i,j)=1/(1+Htu);
end
end
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
function [Eetk]=Competavi(t,K,de,mu)
FhI=@(x) 1./hypergeom([1,-de],1-de,(1-2.^(K/t./x)).*min(1,mu/t./x));
Fxt=integral(FhI,1/10,1);
Eetk=1-Fxt;
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
Below is the error message I obtain.
Error using integral2Calc>integral2t/tensor (line 241)
Integrand output size does not match the input size.
Error in integral2Calc>integral2t (line 55)
[Qsub,esub] = tensor(thetaL,thetaR,phiB,phiT);
Error in integral2Calc (line 9)
[q,errbnd] = integral2t(fun,xmin,xmax,ymin,ymax,optionstruct);
Error in integral2 (line 106)
Q = integral2Calc(fun,xmin,xmax,yminfun,ymaxfun,opstruct);
Error in Tphi_2mom (line 11)
Nnu1=integral2(@(t,u)InteEpstu(t,u,K,de,mu),2,N,2,N);
%%%%%%%%%%%%%%%%%%%%%%%%
Any help in identifying the issue would be of great help.
Thanks
Amogh

 Accepted Answer

Torsten
Torsten on 11 Dec 2018
Edited: Torsten on 11 Dec 2018

0 votes

function [Ingr]=InteEpstu(tvec,uvec,K,de,mu)
Ingr=zeros(size(tvec));
for i=1:numel(tvec)
t=tvec(i);
u=uvec(i);
Eetat=Competavi(t,K,de,mu);
Eetau=Competavi(u,K,de,mu);
thet=(2^(K/t)-1)*Eetat;
theu=(2^(K/u)-1)*Eetau;
Ftn=@(y) (1-1./(1+thet*y)./(1+theu*y))./(y.^(1+de));
Htu=integral(Ftn,1/10,1)*de;
Ingr(i)=1/(1+Htu);
end

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