Changes between Version 12 and Version 13 of u/ehansen/buildcode
- Timestamp:
- 10/31/11 19:18:06 (13 years ago)
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u/ehansen/buildcode
v12 v13 38 38 Where 39 39 40 [[latex($ \ \\bar{x}=x-x_{i+\frac{1}{2}} \ \ \mathrm{and} \ \ \bar{t}=t-t^n \hspace{1 in} (5)$)]]40 [[latex($\bar{x}=x-x_{i+\frac{1}{2}} \ \ \mathrm{and} \ \ \bar{t}=t-t^n \hspace{1 in} (5)$)]] 41 41 42 42 Now we can combine (4) and (5) to get: 43 43 44 [[latex($\tilde{U}( (x_{i-\frac{1}{2}},t) = U_{i-\frac{1}{2}}(0) = constant \hspace{1 in} (6)$)]]45 [[latex($\tilde{U}( {x_{i+\frac{1}{2}},t) = U_{i+\frac{1}{2}}(0) = constant \hspace{1 in} (7)$)]]44 [[latex($\tilde{U}(x_{i-\frac{1}{2}},t) = U_{i-\frac{1}{2}}(0) = constant \hspace{1 in} (6)$)]] 45 [[latex($\tilde{U}(x_{i+\frac{1}{2}},t) = U_{i+\frac{1}{2}}(0) = constant \hspace{1 in} (7)$)]] 46 46 47 47 Substitute (6) and (7) into (3), and then that result into (2) gives: