In this program
- Separation of variables for linear PDEs with homogeneous BCs
- Eigenvalue problems arising from separation
- Superposition
- The general solution structure
- Sturm–Liouville theory (introduction at undergraduate level)
- Laplace's equation in a rectangle
Separation of variables
Sturm–Liouville theory (introduction at undergraduate level)
Partial differential equations · STEM / applied
Topic
Sturm–Liouville theory (introduction at undergraduate level)
Undergraduate Partial Differential Equations — scope drawn from typical US intro PDE syllabi and open PDE notes (separation of variables, Fourier series, classic equations).