Changes between Version 13 and Version 14 of u/erica/truncerror
- Timestamp:
- 08/28/13 14:56:09 (11 years ago)
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u/erica/truncerror
v13 v14 35 35 Replacing terms with their Taylor series indicates, 36 36 37 [[latex($\ frac{1}{h^2}[h^2 U''_i + \frac{1}{12}h^4 U''''_i + \cdot \cdot \cdot]-f(x_i) = U''_i + \frac{1}{12}U''''_i(h^2) +O(h^4) - f(x_j) = \tau _i$)]]37 [[latex($\tau_i = \frac{1}{h^2}[h^2 U''_i + \frac{1}{12}h^4 U''''_i + \cdot \cdot \cdot]-f(x_i) = U''_i + \frac{1}{12}U''''_i(h^2) +O(h^4) - f(x_j)$)]] 38 38 39 39 Using the original ODE, this becomes,