I've obtained a numerical solution of a differential equation in a form of a vector (i.e. M(170,1)) by using ode45, and tspan=0:500 (time range). How can I now integrate M(t)dt, when I am not sure how time sequences are distributed? I know, that I could put tspan=0:0.01:500, but I would like to save some time now.
Integration of a function which is numerical solution of differential equation
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Add the integral to the differential system. If
dM/dt=F(t,M)then the integral satisfies the differential equationdI/dt=M, that isd[M,I]/dt=[F(t,M), M].This also gives for
Ia numerical integration of the same error order as forM.