Module eigenvalue_problem 

Eigenvalue problem solver for Sturm-Liouville problems

Solves standard eigenvalue problems of the form: X’’(x) + λX(x) = 0

With various boundary conditions:

• Dirichlet: X(a) = 0, X(b) = 0
• Neumann: X’(a) = 0, X’(b) = 0
• Mixed: Dirichlet on one end, Neumann on the other
• Robin: αX(a) + βX’(a) = 0

Returns both eigenvalues and corresponding eigenfunctions.

Structs

EigenvalueSolution

Result of solving an eigenvalue problem

Functions

solve_sturm_liouville

Solve Sturm-Liouville eigenvalue problem with boundary conditions