Using arrayfun and fsolve together

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Mohammed Rahman
Mohammed Rahman 2020-5-3
Hi, hope you're doing well. With the help of Darova from the forum, I have been able to formulate this code which essentially solves my system of equations (Equations_G1_G2) for two unknowns; Phi and qRj. An issue arises with regards mj (Line 4). When mj is a scalar, the code works as required and there are no qualms, however, I would like to input mj as a matrix; as shown, and have fsolve iterate through each element in the mj array. How would I go about doing this? I was thinking about using arrayfun but I don't know how to combine arrayfun and fsolve in this manner.
In effect, I would like Phi_qRj (Line 14) to solve my system equations for each element in array mj and then return two arrays for Phi and qRj. So I would have a value of Phi and qRj for each mj values
I appreciate any help!
function IAST
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% INPUTS %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
global mj Lj qAC K n C0i Phi qRj
mj = [1,2,3,4,5]; % PROBLEM
Lj = 0.1;
qAC = mj./Lj
K = [49.1103, 69.49];
n = [0.2095, 0.19727];
C0i = [1,1];
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% SOLVE %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
opt = optimset('display','on');
x0 = ones(1,2);
Phi_qRj = fsolve(@(x)G1_G2(x),x0,opt); % SOLVE EQUATION
Phi = Phi_qRj(:,1)
qRj = Phi_qRj(:,2)
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
function Equations_G1_G2 = G1_G2(x)
global mj Lj qAC K n C0i Phi qRj
%%%%%%%%%%%%%%%%%%%%%%%%%%%%% EQUATIONS %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
Phi = x(1);
qRj = x(2);
Z1 = ((Phi*n)./K).^(1./n)
Z2 = (qRj * qAC);
Z3 = C0i./(Z1+Z2);
Z4 = C0i./(Z1+Z2).*(1./n);
G1 = sum(Z3) + -1;
G2 = sum(Z4) + -(Phi/qRj);
Equations_G1_G2 = [G1 G2]';

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