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by Ciro Santilli (@cirosantilli, 37)

Solving partial differential equations with the Fourier series

 Home Mathematics Area of mathematics Calculus Fourier series Applications of the Fourier series
 0 By others on same topic  0 Discussions  Updated 2025-05-26  +Created 1970-01-01  See my version
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

 Tagged (2)

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

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

 Incoming links (10)

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

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