Changes between Version 4 and Version 5 of u/ticket


Ignore:
Timestamp:
11/18/14 15:23:10 (10 years ago)
Author:
Erica Kaminski
Comment:

Legend:

Unmodified
Added
Removed
Modified
  • u/ticket

    v4 v5  
    4040where the capital D's now represent the derivative ''operators''. Putting the operators into their discretized, 2nd-order forms gives for the LHS:
    4141
    42 [[latex($  \frac{1}{r}\frac{D }{Dr} \phi_{r,z} + \frac{D^2}{D r^2}\phi_{r,z} + \frac{D^2}{Dz^2} \phi_{r,z} = 4 \pi G \rho_{r,z}$)]]
     42[[latex($  \frac{1}{r} \frac{\phi_{r+1,z} - \phi_{r-1,z}}{2 \triangle r} + \frac{\phi_{r+1,z} + \phi_{r-1,z} - 2\phi_{r,z}}{(\triangle r)^2} + \frac{\phi_{r,z+1} + \phi_{r,z-1}- 2\phi_{r,z}}{(\triangle r)^2}$)]]
    4343
    4444