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mws_gen_ode_ppt_shooting

mws_gen_ode_ppt_shooting - ShootingMethod Major:...

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08/11/11 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 ( 29 ( 29 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
http://numericalmethods.eng.usf.edu 5 Solution Two first order differential equations are given as  ( 29 0038371 . 0 5 , = = u w dr du ( 29 known not w r u r w dr dw 5 , 2 = + - = Let us assume ( 29 ( 29 ( 29 ( 29 00026538 . 0

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