mws_gen_dif_spe_central

# mws_gen_dif_spe_central - http/numericalmeth...

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Unformatted text preview: 10/14/11 http://numericalmeth ods.eng.usf.edu 1 Central Divided Difference Major: All Engineering Majors Authors: Autar Kaw, Sri Harsha Garapati http://numericalmethods.eng.usf.edu Numerical Methods for STEM undergraduates http://numericalmethods.eng.usf.edu 2 Definition i x . ( 29 ( 29 ( 29 x x x f x f x x f ∆ ∆-- → ∆ = ′ lim f(x) Slope at x y i x http://numericalmethods.eng.usf.edu 3 Central Divided Difference x x ∆ + x x ( 29 ( 29 ( 29 x x x f x x f x f ∆ ∆-- ∆ + 2245 ′ 2 ( 29 ( 29 ( 29 x x x f x x f x f i i i ∆ ∆-- ∆ + 2245 ′ 2 ) ( x f x x ∆- http://numericalmethods.eng.usf.edu 4 Example Example : The velocity of a rocket is given by ( 29 3 0 , 8 . 9 2 1 0 0 1 0 1 4 1 0 1 4 ln 2 0 0 0 4 4 ≤ ≤- - × × = t t t t ν where ν given in m/s and t is given in seconds . Use central difference approximation of the first derivative of ( 29 t ν to calculate the acceleration at...
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## This note was uploaded on 10/14/2011 for the course CEE 305 taught by Professor Nguyen,d during the Spring '08 term at Old Dominion.

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mws_gen_dif_spe_central - http/numericalmeth...

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