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| ====== MA20223 Lecture 23 ====== | ====== MA20223 Lecture 23 ====== | ||
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| ==== The 1D heat equation with zero Dirichlet conditions ==== | ==== The 1D heat equation with zero Dirichlet conditions ==== | ||
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| \end{gathered} | \end{gathered} | ||
| $$ | $$ | ||
| - | The solution is then $U(x) = T_0 + (T_1 - T_0)x/L. | + | The solution is then $U(x) = T_0 + (T_1 - T_0)x/L$. |
| Next, we set the solution as | Next, we set the solution as | ||