I want to perform this time derivative?

i want to perfrom this time derivative of volume which depends upon Ab and r_dot_L, these factor are calculated before and has an array of (600(time tb) x 412(distance X)) both of the values are time dependent and changes with respect to X.

Answer 1

[Torsten]

From your description, you have 412 different dV_c/dt curves over time, one curve for each distance X. And now ? Do you want to reconstruct the 412 V_c curves over time ?

If you only want to compute dV_c/dt, just multiply the two matrices elementwise:

dV_c_dt = Ab.*r_dot_L

[SUBHAM HALDAR]

And if i want to obtain the Vc, what opeartion does i need to perform?

[Torsten]

If you have the vector t of 600 times corresponding to the 600 x 412 dV_c_dt values, you can get an approximation of the V_c values over time by the command

dV_c_dt = Ab.*r_dot_L;
V_c = V_c0 + cumtrapz(t,dV_c_dt)

where V_c0 is V_c at time t(1).