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The order of error of a numerical method

  • Thread starter asmani
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Homework Statement



Find the order of error of this numerical method:

[tex]f''(x_i+\frac{h}{2})\simeq \frac{\Delta ^2f_i}{h^2}[/tex]

Homework Equations



Taylor's theorem, Newton's interpolation polynomial and its error.

The Attempt at a Solution



I started from Taylor's expansion at x_i and x_i+1 but didn't get anywhere.
 
Last edited:

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Solved!
 

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