mws_ind_ode_txt_runge4th_Examples

mws_ind_ode_txt_runge4th_Examples - Chapter 08.04...

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08.04.1 Chapter 08.04 Runge-Kutta 4th Order Method for Ordinary Differential Equations-More Examples Industrial Engineering Example 1 The open loop response, that is, the speed of the motor to a voltage input of 20V, assuming a system without damping is w dt dw ) 06 . 0 ( (0.02) 20 . If the initial speed is zero   0 0 w ,and using the Runge-Kutta 4 th order method, what is the speed at s 8 . 0 t ? Assume a step size of s 4 . 0 h . Solution w dt dw 3 1000  w t,w f 3 1000  h k k k k w w i i 4 3 2 1 1 2 2 6 1 For 0 i , 0 0 t , 0 0 w  0 0 1 , w t f k  0 , 0 f 0 3 1000 1000 h k w h t f k 1 0 0 2 2 1 , 2 1  4 . 0 1000 2 1 0 , 4 . 0 2 1 0 f  200 , 2 . 0 f 200 3 1000 400 h k w h t f k 2 0 0 3 2 1 , 2 1
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08.04.2
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mws_ind_ode_txt_runge4th_Examples - Chapter 08.04...

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