Consider the $2$D Poisson equation:

$\frac{de{l}^2}{del{x}^2}+\frac{de{l}^2}{del{y}^2}=E(x,y)$

Formulate, and write a pseudo code with all the appropriate loops for a Red$-$Black Point

Gauss$-$Seidel $($RBPGS$)$ solver for $(i,j)$ equation $1$ on a uniform grid with $x=y=h.$