Changes between Version 4 and Version 5 of u/johannjc/scratchpad7

Timestamp:

10/12/15 13:47:53 (9 years ago)

Author:

Jonathan

Comment:

—

u/johannjc/scratchpad7

@@ -101 +101 @@
 where
 
-$\alpha_0 = -\frac{B^{ij}_{\hat{i}} + B^{ij}_{-\hat{i}}}{\Delta x^2}\delta_{ij}$
-
-$\alpha_{\pm j} = \frac{B^{jj}_{\pm \hat{j}}}{\Delta x^2}$
+$\alpha_0 = - \displaystyle \sum_{i} \frac{B^{ii}_{\hat{i}} + B^{ii}_{-\hat{i}}}{\Delta x^2}$
+
+$\alpha_{\pm i} = \frac{B^{ii}_{\pm \hat{i}}}{\Delta x^2}$
 
 $\alpha_{\pm i, \pm j} = \pm \pm \frac{B^{ij}_{\pm \hat{i}}}{4 \Delta x^2} $ where the $\pm$ in $B_{\pm \hat{i}}$ corresponds to the $\pm i$ term.