Consider the Laplace equation

\[ \Delta u =0 \]

on the square,

and take the boundary conditions as in the example in the lecture notes at page 65.

Implement the five point formula and verify order 2 convergence in both space directions.

Consider the Laplace equation

\[ \Delta u =0 \]

on the square,

and take the boundary conditions as in the example in the lecture notes at page 65.

Implement the five point formula and verify order 2 convergence in both space directions.