Optimization of ODE parameters
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I have a set of data experimental data and want to solve a differential equation with two unknown variable. Those two unknown variable should be tuned that the solution of ode will match the experimental data.I have written the following code but I couldn't move forward. Any help will be appreciated.
Thanks in advance.
load data.mat
expTime = Data (1:6,1);
Tr = Data (1:6,2);
tSpan = [0 10];
T0 = Data(1,2);
x = [10522;53555];
myfun = @(t,T) (5.4675e-4)*exp(-(x(1))/(8.314*T))*(x(2));
T = ode45 (myfun,tSpan,T0);
simY = deval(T, expTime);
A = [ 1 , 0];
b =1;
ab0 = [1 ;1];
x = lsqnonlin(@ObjFnc,ab0,0,15000)
In the following code I tried to write an objective function that takes input of two unknown variables, solves ODE, and calculates the error. I couldn't find a way how to calculate the error.
function cost = ObjFnc(a,b)
tSpan = [0 10];
load data.mat
T0 = Data(1,2);
expTime = Data (1:6,1);
myfun = @(t,T) (5.4675e-4)*exp(-a/(8.314*T))*b;
T = ode45 (myfun,tSpan,T0);
Tp = deval(T,expTime);
end
1 Comment
Torsten
on 13 Mar 2018
Take a look at our "reference code" for this kind of problem:
https://de.mathworks.com/matlabcentral/answers/43439-monod-kinetics-and-curve-fitting
Best wishes
Torsten.
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