Ciro Santilli
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Solving partial differential equations with the Fourier series
Applications of 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
.
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
Heat equation solution with Fourier series
Wave equation solution with Fourier series
Ancestors
Applications of the Fourier series
Fourier series
Calculus
Mathematics
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Atomic orbital
Complete basis
Fourier series
Fourier transform
Hermite polynomials
Principal quantum number
Quantum harmonic oscillator
Separation of variables
Wave equation