Chapter 15.1, Problem 1E

In Problems 1–4 use (5) to approximate the solution of Laplace’s equation at the interior points of the given region. Use symmetry when possible.

1. 1. $\begin{array}{l}u\left(0,y\right)=0,u\left(3,y\right)=y\left(2-y\right),0<y<2\\ u\left(x,0\right)=0,u\left(x,2\right)=x\left(3-x\right),0<x<3\end{array}$

   mesh size: h = 1