Temperature distribution on 2D Plate using Matlab

Job ID: 32325740

Budget: $30 – $250 USD

Given a thin square plate of 10 cm aside and thickness of 1
cm, its faces are insulated so that no heat flows in the
direction of the thickness. The edges of the plate are
maintained at temperatures as show in the figure (note that
the lower edge is insulated). There is no internal energy
generation within the plate. The temperature distribution
within the plate is governed by the two-dimensional Laplace
equation: Txx + Tyy = 0.
Take Δx=Δy=2.5 cm and determine The temperature
distribution over the plate using:
1.) The five-point FDE.
2.) The Gauss-Seidel method with ε=1%
Take the temperatures of lower right and left corners to be 50
and 75 oC, respectively.
Repeat the above requirements for Δx=Δy=1.25 cm.
Comment on your results.
The following deliverables are required:
1.) For the five-point method: all interior points including those at the insulated edge.
2.) For the Gauss-Seidel method: a table showing the iteration number at the following
locations (for Δx=Δy=2.5 cm and Δx=Δy=1.25 cm):
Related categories: Matlab and Mathematica