Freefem1d

**Solving elliptic, parabolic and eigenvalue one-dimensional problems**

**Example by Silvain Auliac****: extension to \( y \) variable**

Can be done by solving the formulation on a 2D domain while the solution would just be a constant continuation of the function with respect to \(y\).

**Another way****: construct the system**

To solve the basic Laplace problem with homogeneous boundary conditions on \( (0,1)\) use 2D tools to construct the 1D problem.

**Eigenvalue problem****: for the Laplace operator by Pablo Suarez****Quantum harmonic oscillator****by Markus Michelmann (eigenvalue problem)**