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 Schrodinger equation.

- Analytical method to solve a partial differential equation | 6, 88, 1
- Partial differential equation | 0, 2k, 45
- Differential equation | 0, 3k, 69
- Calculus | 17, 8k, 203
- Mathematics | 17, 28k, 633
- Ciro Santilli's Homepage | 262, 218k, 4k

- Bessel function | 86, 112, 1
- Complete basis | 150
- Hermite polynomials | 43, 55, 1
- Legendre polynomials | 46
- Principal quantum number | 71
- Solving partial differential equations with the Fourier series | 74
- Spherical harmonic | 32
- Time-independent Schrodinger equation | 416
- Wave equation | 124, 418, 16