mws_ind_ode_txt_runge2nd_Examples

mws_ind_ode_txt_runge2nd_Examples - 08.02.1 Chapter 08.03...

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Unformatted text preview: 08.02.1 Chapter 08.03 Runge-Kutta 2nd 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 . 02 20 If the initial speed is zero; use the Runge-Kutta 2 nd order method and a step size of s 4 . h to find the speed at s 8 . t . Solution w dt dw 3 1000 w t , w f 3 1000 Per Heun’s method h k k w w i i 2 1 1 2 1 2 1 i i t w f k , 1 h k t h w f k i i 1 2 , For , , w t i 1 , w t f k , f 3 1000 1000 h k w h t f k 1 2 , 4 . 1000 , 4 . f 400 , 4 . f 400 3 1000 200 08.02.2 Chapter 08.02 h k k w w 2 1 1 2 1 2 1...
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This note was uploaded on 06/12/2011 for the course EML 3041 taught by Professor Kaw,a during the Spring '08 term at University of South Florida - Tampa.

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mws_ind_ode_txt_runge2nd_Examples - 08.02.1 Chapter 08.03...

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