Changes between Version 10 and Version 11 of u/ehansen/buildcode


Ignore:
Timestamp:
10/31/11 19:01:27 (13 years ago)
Author:
ehansen
Comment:

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  • u/ehansen/buildcode

    v10 v11  
    5151Just looking at the right hand side of (8)...the first term can be rewritten just by using the definition of cell average that we defined in (2), and since the flux integrands are now constants, those integrals can be simplified.  The final equation reads:
    5252
    53 [[latex($U_{i}^{n+1}=U_{i}^{n}+\frac{\Delta t}{\Delta x}[F(U_{i-\frac{1}{2}}(0))-F(U_{{i+\frac{1}{2}}(0)) \hspace{1 in} (9)$)]]
     53[[latex($U_{i}^{n+1} = U_{i}^{n} + \frac{\Delta t}{\Delta x}[F(U_{i-\frac{1}{2}}(0))-F(U_{i+\frac{1}{2}}(0))] \hspace{1 in} (9)$)]]
    5454[[BR]]
    5555== Program Outline ==