Changes between Version 12 and Version 13 of u/erica/truncerror


Ignore:
Timestamp:
08/28/13 14:54:40 (11 years ago)
Author:
Erica Kaminski
Comment:

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  • u/erica/truncerror

    v12 v13  
    1818[[latex($D2 = \frac{1}{h^2}[u(x+h)+u(x-h)-2u(x)]= \frac{1}{h}[\frac{u(x+h)-u(x)}{h} - \frac{u(x-h)-u(x)}{-h}] $)]]
    1919
    20 (written so to illustrate it as the finite difference version of the derivative of the derivative). Using this, and replacing the function f and the (approximate) solution u with their discrete forms, we have
     20(written so to illustrate it as the finite difference version of the derivative of the derivative). Using this, and discretizing, we have
    2121
    2222[[latex($\frac{1}{h^2}[u(x_i+h)+u(x_i-h)-2u(x_i)] = f(x_i)$)]]