How to use fzero to solve for a variable in an exponent?
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I am trying to use fzero to find where two equations are equal to one another with respect to T, by setting them equal to one another and then subtraction one side from the other, f(t) - g(t) = 0. When I run the code posted below I dont get any error messages but nothing is printed out. Any Help would be greatly appreciated.
X1 = 0.5;
X2 = 0.5;
A12 = 1.6798;
A21 = 0.9227;
AW = 7.96681;
BW = 1668.21;
CW = 228.00;
AE = 8.04494;
BE = 1554.3;
CE = 222.65;
P = 763.712697;
gam1 = exp(A12*((A21*X2)/(A12*X1+A21*X2))^2);
gam2 = exp(A21*((A12*X1)/(A12*X1+A21*X2))^2);
function y = f(T)
y = gam1*X1*10^(AE - BE/(T+CE)) + (gam2*X2*10^(AW - BW/(T+CW))-P);
fun = @f; % function
T0 = 2; % initial point
z = fzero(fun,T0)
end
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Answers (1)
Star Strider
on 15 Feb 2020
Take the fzero call out of the function it calls:
X1 = 0.5;
X2 = 0.5;
A12 = 1.6798;
A21 = 0.9227;
AW = 7.96681;
BW = 1668.21;
CW = 228.00;
AE = 8.04494;
BE = 1554.3;
CE = 222.65;
P = 763.712697;
gam1 = exp(A12*((A21*X2)/(A12*X1+A21*X2))^2);
gam2 = exp(A21*((A12*X1)/(A12*X1+A21*X2))^2);
function y = f(T)
y = gam1*X1*10.^(AE - BE./(T+CE)) + (gam2*X2*10.^(AW - BW./(T+CW))-P);
end
fun = @f; % function
T0 = 2; % initial point
z = fzero(fun,T0)
to get:
z =
80.0550
I also vectorised the ‘y’ assignment.
2 Comments
Star Strider
on 22 Feb 2020
My pleasure!
If my Answer helped you solve your problem, please Accept it!
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