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Unformatted text preview: the third derivative that is second-order accurate. To do this, you will have to use four di±erent expansions for the points x i-2 , x i-1 , x i +1 , and x i +2 . In each case, the expansion will be around the point x i . The interval Δ x will be used in each case of i-1 and i +1, and 2Δ x will be used in each case of i-2 and i + 2. The four equations must then be combined in a way to eliminate the ²rst and second derivatives. Carry enough terms along in each expansion to evaluate the ²rst term that will be truncated to determine the order of the approximation. 1...
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This note was uploaded on 11/05/2009 for the course ME 140A taught by Professor Meiburg during the Fall '08 term at UCSB.
- Fall '08