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 Separation of variables

ID: separation-of-variables

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Separation of variables by Ciro Santilli 37  Updated 2025-05-07  +Created 1970-01-01
Technique to solve partial differential equations
Naturally leads to the Fourier series, see: solving partial differential equations with the Fourier series, and to other analogous expansions:
One notable application is the solution of the Schrödinger equation via the time-independent Schrödinger equation.
Bibliography:
  • math.libretexts.org/Bookshelves/Differential_Equations/Book%3A_Differential_Equations_for_Engineers_(Lebl)/4%3A_Fourier_series_and_PDEs/4.06%3A_PDEs_separation_of_variables_and_the_heat_equation on LibreTexts for the heat equation
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