Stability analysis in 2D Unsteady heat conduction

Objective: 1. The stability analysis is different with respect to both Implicit and Explicit method. 2. The explicit method is unstable for certain conditions which include Courant number. If the Courant number say, C = k*dt/(dx^2) is greater than 0.25, then the solution leads to instability. Shown below is an unstable graph.…