Changes between Version 3 and Version 4 of u/johannjc/scratchpad7


Ignore:
Timestamp:
10/12/15 13:44:14 (9 years ago)
Author:
Jonathan
Comment:

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  • u/johannjc/scratchpad7

    v3 v4  
    101101where
    102102
    103 $\alpha_0 = -\frac{2F_{ij}\delta_{ij}}{\Delta x^2}$
    104 
    105 $\alpha_{\pm j} = \pm \frac{E_j }{2 \Delta x} + \frac{F_{jj}}{\Delta x^2}$
    106 
    107 $\alpha_{\pm i, \pm j} = \pm \pm \frac{F_{ij}}{4 \Delta x^2}$
     103$\alpha_0 = -\frac{B^{ij}_{\hat{i}} + B^{ij}_{-\hat{i}}}{\Delta x^2}\delta_{ij}$
     104
     105$\alpha_{\pm j} = \frac{B^{jj}_{\pm \hat{j}}}{\Delta x^2}$
     106
     107$\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.
    108108
    109109