Numerical Method - Old Questions

7. Define a difference equation to represent a Laplace’s equation. Solve the following Laplace equation  

For the rectangular plate given as:(3 + 5)

OR

Derive a difference equation to represent a Poison’s equation. Solve the Poison’s equation ∇² f = 2x²y² Over the domain 0 ≤ x ≤ 3, 0 ≤ y ≤ 3 with f = 0 on the boundary and h = 1. (3+5)