N24 - ME – 510 NUMERICAL METHODS FOR ME II RUNNING TAYLOR...

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Unformatted text preview: ME – 510 NUMERICAL METHODS FOR ME II RUNNING TAYLOR SERIES (t - t 0 ) 2 (t - t) n+1 (n+1) y(t 0 ) + (t - t 0 ) f(t 0 ,y 0 ) + y''(t 0 ) + ... + y ([ ) 2! (n + 1)! y(t n ) + (t n+1 (t n+1 - t n ) 2 (t n+1 - t n ) n+1 (n+1) - t n ) f(t n ,y n ) + y''(t n ) + ... + y ([ ) 2! (n + 1)! h2 h n+1 y''(t n ) + ... + y (n+1) ([ ) 2! (n + 1)! y(t) y(t n+1 ) y n+1 y n + h f(t n ,y n ) + y n+1 y n + h f(t n ,y n ) + wf º h2 ª w f h n+1 + f» + ... + y (n+1) ([ ) «w t w y ¼ t ,y 2! ¬ (n + 1)! n n 3URI 'U )DUXN $UÕQo Fall 2007 ...
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This note was uploaded on 02/28/2011 for the course ME 510 taught by Professor Dr.faruckarinc during the Spring '11 term at Middle East Technical University.

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