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HW1_313fall09 - f j-1 3 f j 2Δ x O(Δ x 2 2 Problems are...

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AERSP 313 Homework Assignment No. 1 Assigned September 1, 2009 Due Thurs, September 10, 2009 1. Using the Taylor series expansion for f ( x - Δ x ) and f ( x - x ), show that the second order accurate, backwards difference expression is f j = f j -
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Unformatted text preview: f j-1 + 3 f j 2Δ x + O (Δ x 2 ) 2. Problems are from Kreyszig 9th edition: Sec. 19.5: (p. 828) nos. 3,4,9, 10, 13, 14, 27, and 28. (note that the exact answer for the integral in no. 13 is 0.94608307)...
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