Plot how would I take my out put C(2) and plot it vs Al (Alpha) This newtons method works to get Ca2 and CA1, but I want to bang CA2 vs Alpha for alpha 0-1. Do I use a matrix?

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Victor Jimenez Carrillo
Victor Jimenez Carrillo on 15 Sep 2021
function TEST11
clear
n=2;
Jac=zeros(n); fv=zeros(n,1); f=zeros(n,1); Cd=zeros(n,1); C=zeros(n,1);
C=[0.5; 0.3;];
CA0=1; V=1; Q=50; k1=1; k2=1; al=0.11;
Rel_dx=0.01;
itr_max=100; tol=10^-4;
for k=1:itr_max
Jac=J(C);
fv=fx(C);
f=-1.*fv';
d=Jac\f;
C=C+d;
Rerr=d./C;
max_err=max(abs(Rerr));
fprintf('CA1=%f & CA2=%f max error=%f\n',C,max_err)
if max_err<tol; break; end;
end
if k==itr_max
fprintf('Newtons method failed to converge in %d iternations\n', itr_max)
end
if i<itr_max
fprintf('The solution is CA1=%f CA2=%f in %d iterations\n', C,k)
end
function Jac=J(C)
fv=fx(C);
for j=1:n
C(j)=C(j)*(1+Rel_dx);
fvd=fx(C);
for i=1:n
Jac(i,j)=(fvd(i)-fv(i))/C(j)/Rel_dx;
end
C(j)=C(j)/(1+Rel_dx);
end
end
function fv=fx(C)
fv(1)=Q*CA0-Q*C(1)-k1*C(1)^2*(al*V);
fv(2)=Q*C(1)-Q*C(2)-k2*C(2)^2*(1-al)*V;
end
end

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R2020b

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