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Applications of the Fourier series

Ciro Santilli (@cirosantilli, 37) Mathematics Area of mathematics Calculus Fourier series
Updated 2025-07-16  0 By others on same topic  0 Discussions Create my own version
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    • Solving partial differential equations with the Fourier series Applications of the Fourier series

Solving partial differential equations with the Fourier series

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Applications of the Fourier series
See: math.stackexchange.com/questions/579453/real-world-application-of-fourier-series/3729366#3729366 from heat equation solution with Fourier series.
Separation of variables of certain equations like the heat equation and wave equation are solved immediately by calculating the Fourier series of initial conditions!
Other basis besides the Fourier series show up for other equations, e.g.:
  • Bessel function
  • Hermite polynomials

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  • Heat equation solution with Fourier series
  • Wave equation solution with Fourier series

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