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 vpde_lecture22 [2020/03/26 13:31]trinh vpde_lecture22 [2020/03/26 13:31]trinh [The 1D heat equation with zero Dirichlet conditions] Both sides previous revision Previous revision 2020/03/26 13:42 trinh 2020/03/26 13:31 trinh [The 1D heat equation with zero Dirichlet conditions] 2020/03/26 13:31 trinh 2020/03/26 13:29 trinh 2020/03/26 13:29 trinh 2020/03/25 08:24 trinh 2020/03/24 15:27 trinh 2020/03/24 14:45 trinh [The 1D heat equation with zero Dirichlet conditions] 2020/03/24 14:44 trinh [The 1D heat equation with zero Dirichlet conditions] 2020/03/24 14:37 trinh 2020/03/24 14:36 trinh created 2020/03/26 13:42 trinh 2020/03/26 13:31 trinh [The 1D heat equation with zero Dirichlet conditions] 2020/03/26 13:31 trinh 2020/03/26 13:29 trinh 2020/03/26 13:29 trinh 2020/03/25 08:24 trinh 2020/03/24 15:27 trinh 2020/03/24 14:45 trinh [The 1D heat equation with zero Dirichlet conditions] 2020/03/24 14:44 trinh [The 1D heat equation with zero Dirichlet conditions] 2020/03/24 14:37 trinh 2020/03/24 14:36 trinh created Last revision Both sides next revision Line 45: Line 45: where $b_n$ will be the Fourier sine coefficients of the odd $2\pi$ extension of $f(x)$ on $[0, \pi]$. where $b_n$ will be the Fourier sine coefficients of the odd $2\pi$ extension of $f(x)$ on $[0, \pi]$. - See the video for details of the calculation; we were not able to get to the end of the calculation by the lecture's end, but it will be simple for us to finish it all up in [[vpde_lecture23|MA20223 Lecture 22]] + See the video for details of the calculation; we were not able to get to the end of the calculation by the lecture's end, but it will be simple for us to finish it all up in [[vpde_lecture23|MA20223 Lecture 23]]