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

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

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 ...
View Full Document

Ask a homework question - tutors are online