How to integrate given the two data columns

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Grigorios Chatziandreou
Grigorios Chatziandreou on 29 Apr 2022
Answered: Torsten on 29 Apr 2022
Hello. I have used ode45 to figure out current wrt time.
I have my matrix tz and my matrix CURRENT for values of current with time from tz(1)=0 to tz(end). How can I intagrate it? Any clever way if I do not know the time step in tz?

Answers (2)

Riccardo Scorretti
Riccardo Scorretti on 29 Apr 2022
Most probably like this:
CHARGE = sum(CURRENT(1:end-1) .* diff(tz));
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Riccardo Scorretti
Riccardo Scorretti on 29 Apr 2022
Something better can be done, but if you have a large number of points, it will give more or less the same result.

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Torsten
Torsten on 29 Apr 2022
Add the differential equation
dz/dt = CURRENT, z(t0) = 0
to your system of ODEs.
z will automatically be the integrated CURRENT over time.

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