Changes between Version 4 and Version 5 of u/johannjc/scratchpad4


Ignore:
Timestamp:
09/30/15 16:49:00 (9 years ago)
Author:
Jonathan
Comment:

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  • u/johannjc/scratchpad4

    v4 v5  
    8787and then work out the coefficients for the matrix equation
    8888
    89 $\alpha_0 = -A -2E_{jj}T_0^\lambda = n \kappa_\parallel \psi$
     89$\alpha_0 = -\frac{1}{\Delta t} -2\frac{E_{jj}}{2 \Delta x}T_0^\lambda$
    9090
    91 $\alpha_{\pm j} = \pm C_jT^\lambda_{\pm \hat{j}} + E_{jj}T_{\pm \hat{j}}^\lambda$
     91$\alpha_{\pm j} = \pm C_jT^\lambda_{\pm \hat{j}} + \frac{E_{jj}}{\Delta x^2}T_{\pm \hat{j}}^\lambda$
    9292
     93$\alpha_{\pm i \pm j} = \pm \pm \frac{E_{ij}}{4 \Delta x^2}T^\lambda_{\pm \hat{i} \pm \hat{j}}$
     94