mws_gen_ode_ppt_shooting(1)

# mws_gen_ode_ppt_shooting(1) - Shooting Method Major All...

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1/10/2010 http://numericalmethods.eng.usf.edu 1 Shooting Method Major: All Engineering Majors Authors: Autar Kaw, Charlie Barker http://numericalmethods.eng.usf.edu Transforming Numerical Methods Education for STEM Undergraduates

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Shooting Method http://numericalmethods.eng.usf.edu
http://numericalmethods.eng.usf.edu 3 Shooting Method The shooting method uses the methods used in solving initial value problems. This is done by assuming initial values that would have been given if the ordinary differential equation were a initial value problem. The boundary value obtained is compared with the actual boundary value. Using trial and error or some scientific approach, one tries to get as close to the boundary value as possible.

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http://numericalmethods.eng.usf.edu 4 Example b a r ( ) ( ) 0030770 . 0 8 , 0038731 . 0 5 , 0 1 2 2 2 = = = + u u r u dr du r dr u d Let w dr du = Then 0 1 2 = + r u w r dr dw Where a = 5 and b = 8