Steady state and Transient Analysis of 2D Heat conduction equation using MATLAB

Objective: 1. Steady State solver: We know that the steady state equation for 2D heat conduction is `(∂^2 T)/(∂x^2 )+ (∂^2 T)/(∂y^2 )=0` By applying central differencing for the space derivatives and solving, we get `T_(i,j)= (∆x^2 ∆y^2)/(2(∆x^2+∆y^2))*[(T_(i-1,j)+T_(i+1,j))/(∆x^2 )+(T_(i,j-1)+T_(i,j+1))/(∆y^2…