N34 - ME – 510 NUMERICAL METHODS FOR ME II ADAMS-BASHFORT...

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Unformatted text preview: ME – 510 NUMERICAL METHODS FOR ME II ADAMS-BASHFORT OPEN FORMULAE y i 1 yi  h ¦ D nk f i - k 1  O(h n 1 ) k 1 k=4 Dn4 k=5 Dn5 k=6 Dn6 Local Truncation Error, O(hn+1) n Order of the Formula (n) 1 2 3 4 5 6 k=1 D n1 1 3 2 23 12 55 24 1901 720 4277 1440 k=2 Dn2 k=3 Dn3 12 h f ' ( [) 2 1 2 16 12 5 12 37 24 2616 720 9982 1440 9 24 1274 720 7298 1440 251 720 2877 1440 475 1440 53 h f ' ' ( [) 12 94 h f ' ' ' ( [) 24 251 5 (4) h f ( [) 720 475 6 (5) h f ( [) 1440 19087 7 (6) h f ( [) 60480 59 24 2774 720 7923 1440 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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