fsolve return same values for various inputs

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Alireza Kakoee
Alireza Kakoee el 14 de Abr. de 2020
Comentada: Walter Roberson el 14 de Abr. de 2020
I have a system of 8 equation and 8 unknown
with function
function G=Gt(a,P,Po,H2CO,GCH4,GH2O,GCO,GCO2,GH2,GC,T)
% number of element C H and O : 3
% aik i denoted species and k is elemnt
R=8.314467e-3; %kj-kg-k
a_CH4_C=1; a_CH4_H=4;a_CH4_O=0;
a_H2O_C=0; a_H2O_H=2;a_H2O_O=1;
a_CO_C=1; a_CO_H=0; a_CO_O=1;
a_CO2_C=1; a_CO2_H=0; a_CO2_O=2;
a_H2_C=0; a_H2_H=2;a_H2_O=0;
a_C_C=1; a_C_H=0; a_C_O=0;
% A_k k is elemnt in the mixture for example C
% A_C=a_CH4_C*noCH4+a_CO_C*noCO+a_CO2_C*noCO2+a_C_C*noC;
% A_H=a_CH4_H*noCH4+a_H2O_H*noH2O+a_H2_H*noH2;
% A_O=a_H2O_O*noH2O+a_CO_O*noCO+a_CO2_O*noCO2;
% a(1)=ych4 a(2)=yh2o a(3)=yco a(4)=yco2 a(5)=yh2 a(6)=yc
% ther are three lagrange multuolier: Gama_c (a(7), Gama_h a(8) and Gama_o
% a(9)
NCH4=a(1)^2;
NH2O=a(2)^2;
NCO=a(3)^2;
NCO2=a(4)^2;
NH2=a(5)^2;
NC=a(6)^2;
Gc=a(7)^2;
GH=a(8)^2;
GO=a(9)^2;
nt=NCH4+NH2O+NCO+NCO2+NH2+NC;
G(1)=NCH4+nt*exp(-(GCH4/(R*T)+a_CH4_C*Gc/(R*T)+a_CH4_H*GH/(R*T))); %CH4
G(2)=NH2O+nt*exp(-(GH2O/(R*T)+a_H2O_H*GH/(R*T)+a_H2O_O*GO/(R*T))); %H2O
G(3)=NCO+nt*exp(-(GCO/(R*T)+a_CO_C*Gc/(R*T)+a_CO_O*GO/(R*T))); %CO
G(4)=NCO2+nt*exp(-(GCO2/(R*T)+a_CO2_C*Gc/(R*T)+a_CO2_O*GO/(R*T))); %CO2
G(5)=NH2+nt*exp(-(GH2/(R*T)+a_H2_H*GH/(R*T))); %H2
G(6)=NC+nt*exp(-(GC/(R*T)+a_C_C*Gc/(R*T))); %H2
G(7)= a_CH4_C*NCH4+a_CO2_C*NCO2+a_CO_C*NCO+a_C_C*NC-1;
G(8)= a_CH4_H*NCH4+a_H2O_H*NH2O+a_H2_H*NH2-H2CO*2;
G(9)= a_H2O_O*NH2O+a_CO_O*NCO+a_CO2_O*NCO2-1;
% G(9)= NCH4+NH2O+NCO+NCO2+NH2+NC-1;
end
a0=[0.626 0.228 0.408 0.0375 0.268 0.91 1000 2400 100];
i recieved this answers:
Iteration Func-count f(x) step optimality
0 10 3.03569 4.96
1 20 3.03569 0.982623 4.96
2 30 1.42864 0.245656 1.67
3 40 0.539709 0.491311 0.351
4 50 0.461848 0.199711 0.095
5 60 0.459377 0.0498161 0.00399
6 70 0.459364 0.00484322 7.79e-05
7 80 0.459364 4.80893e-05 2.34e-06
8 90 0.459364 2.62314e-06 1.12e-07
9 100 0.459364 9.64716e-08 4.51e-09
10 110 0.459364 4.58492e-09 3.8e-09
No solution found.
fsolve stopped because the last step was ineffective. However, the vector of function
values is not near zero, as measured by the selected value of the function tolerance.
<stopping criteria details>
  1 comentario
Walter Roberson
Walter Roberson el 14 de Abr. de 2020
To test, we will need to know the values you are passing in for H2CO, GCH4, GH2O, GCO, GCO2, GH2 ,GC, T .
(You do not use P or Po so we can ignore those.)

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