Changes between Version 3 and Version 4 of u/erica/truncerror

Timestamp:

08/27/13 19:38:15 (11 years ago)

Author:

Erica Kaminski

Comment:

—

u/erica/truncerror

@@ -20 +20 @@
 [[latex($\frac{1}{h}[\frac{u(x+h)-u(x)}{h} - \frac{u(x-h)-u(x)}{-h}] = \frac{1}{h^2}[u(x+h)+u(x-h)-2u(x)]$)]]
 
-(which is easily interpreted as the finite difference version of the derivative of the derivative). With these, and replacing the functions with discrete versions of the functions, we have
+(which is easily interpreted as the finite difference version of the derivative of the derivative). With this, and replacing the functions with discrete versions of the functions, we have
 
-[[latex($\frac{d^2 u}{dx^2} = f(x)$)]]
+[[latex($\frac{1}{h^2}[u(x_i+h)+u(x_i-h)-2u(x_i)] = f(x_i)$)]]
 
 
-and discretize the functions over some finite number of grid points:
+This is a system of equations over a 1D interval. and discretize the functions over some finite number of grid points:
 
 with the finite difference version