Non-linear solver
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I have a equation i=a*exp(-c*F*E/(R*T))+b*exp(-d*F*E/(R*T)) *bold that I'm solving for a,b,c and d. The constants are F=96485, T=298, R=8.314. I'm trying to find a,b,c and d with given E and i value. How do I set it up in MATLAB? I've tried using fsolve but there was an error.
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Star Strider
2018-6-4
See if this does what you want:
F=96485;
T=298;
R=8.314;
% % % i=a*exp(-c*F*E/(R*T))+b*exp(-d*F*E/(R*T)); % Original Equation
% % % a = p(1), b = p(2), c = p(3), d = p(4) % Define Parameters
fcn = @(p,E,i) p(1).*exp(-p(3)*F*E/(R*T)) + p(2).*exp(-p(4)*F*E/(R*T)) - i;
E = 42; % Use Correct Value
i = 24; % Use Correct Value
p0 = rand(4,1)*1E-6;
[Params,fval] = fsolve(@(p)fcn(p,E,i), p0)
If you have vectors of values for ‘E’ and ‘i’, use a nested loop to iterate through them:
E = [...];
i = [...];
for k1 = 1:numel(E)
for k2 = 1:numel(i);
Params{k1,k2} = fsolve(@(p)fcn(p,E(k1),i(k2)), p0);
end
end
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Star Strider
2018-6-5
When I tested your function, it turned out that was the best magnitude range for them. Use whatever values you want.
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