Changes between Version 11 and Version 12 of u/erica/truncerror

Timestamp:

08/28/13 14:52:53 (11 years ago)

Author:

Erica Kaminski

Comment:

—

u/erica/truncerror

@@ -16 +16 @@
 with the centered (2nd order, as can be verified by above discussion) finite different approximation D2, 
 
-[[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}] $)]]
+[[latex($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}] $)]]
 
 (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