I am trying to reproduce the solution of heat 1D equation solution from https://databookuw.com/ . u_t = \alpha^2u_{xx} where u(t,\ x) is the temperature distribution in time and space. \mathcal{F}(u(t,\ x)) = \hat u(t, \ kappa) u_x \xrightarrow{\mathcal{F}} i k \hat u \hat u_t = - \alpha^2 k^2 \…

Solving 1D heat equation using FFT

ChrisRackauckas March 12, 2024, 12:02pm 9

Aren’t you missing a -?

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