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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:

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  1. Analytical method to solve a partial differential equation
  2. Partial differential equation
  3. Differential equation
  4. Calculus
  5. Area of mathematics
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