Changes between Version 13 and Version 14 of u/erica/truncerror


Ignore:
Timestamp:
08/28/13 14:56:09 (11 years ago)
Author:
Erica Kaminski
Comment:

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  • u/erica/truncerror

    v13 v14  
    3535Replacing terms with their Taylor series indicates,
    3636
    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($\tau_i = \frac{1}{h^2}[h^2 U''_i + \frac{1}{12}h^4 U''''_i + \cdot \cdot \cdot]-f(x_i) = U''_i + \frac{1}{12}U''''_i(h^2) +O(h^4) - f(x_j)$)]]
    3838
    3939Using the original ODE, this becomes,