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by Ciro Santilli (@cirosantilli, 25)
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Solving partial differential equations with the Fourier series

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

 Tagged

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

 Ancestors

  1. Applications of the Fourier series
  2. Fourier series
  3. Calculus
  4. Area of mathematics
  5. Mathematics
  6. Index

 Incoming links

  • Atomic orbital
  • Complete basis
  • Fourier series
  • Fourier transform
  • Hermite polynomials
  • Principal quantum number
  • Quantum harmonic oscillator
  • Separation of variables
  • Wave equation

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