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3. Consider the finite difference formula 1 f'(xj): = 12h [f(xj-2h) 8f(x; h) +8f(x; + h) f(x; + 2h)] + O(h). - Derive this
3. Consider the finite difference formula 1 f'(xj): = 12h [f(xj-2h) 8f(x; h) +8f(x; + h) f(x; + 2h)] + O(h). - Derive this formula by using Taylor's theorem. (Hint: set n = 4 in Taylor's expan- sion)
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Advanced Engineering Mathematics
Authors: Erwin Kreyszig
5th Edition
471862517, 978-0471862512
