mws_gen_ode_ppt_shooting(1)

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

Info iconThis preview shows pages 1–7. Sign up to view the full content.

View Full Document Right Arrow Icon
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
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Background image of page 2
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.
Background image of page 3

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
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
Background image of page 4
http://numericalmethods.eng.usf.edu 5 Solution Two first order differential equations are given as ( ) 0038371 . 0 5 , = = u w dr du ( ) known not w r u r w dr dw 5 , 2 = + = Let us assume ( ) ( ) ( ) ( ) 00026538 . 0 5 8 5 8 5 5 = = u u dr du w To set up initial value problem ( ) ( ) 0038371 . 0 5 , , , 1 = = = u w u r f w dr du ( ) ( ) 00026538 . 0 5 , , , 2 2 = = + = w w u r f r u r w dr dw
Background image of page 5

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
http://numericalmethods.eng.usf.edu
Background image of page 6
Image of page 7
This is the end of the preview. Sign up to access the rest of the document.

Page1 / 17

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

This preview shows document pages 1 - 7. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online