Solving Multiple First Order Differential Equations for Constants
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HK
el 15 de Feb. de 2019
Comentada: Torsten
el 20 de Feb. de 2019
Hi,
I hope someone can help me.
I am looking to solve these 6 first order differential equations for the unknowns k1, k2, k3, k4, k5 and k6, with known concentrations in the square brackets (any number for them will do just now to get a working script!). Could someone help me obtain a script to do this?
Many thanks in advance.
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Respuesta aceptada
Torsten
el 15 de Feb. de 2019
Replace the time derivatives by difference quotients.
Then you get a linear system of equations
A*[k1;k2;k3;k4;k5;k6] = b
where the number of rows in A is equal to (6*number of measurement times).
This can subsequently be solved using
k = A\b.
Best wishes
Torsten.
8 comentarios
Torsten
el 20 de Feb. de 2019
Since your data are taken at times with such a great temporal distance, you should try the method described here:
Best wishes
Torsten.
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