Two dimensional numerical analysis of conduction equation in cartesian coordinates

Objective: I. Steady state analysis: Steady state conduction equation in two dimensional cartesian coordinate system is given below: `(del^2T)/(delx^2)+(del^2T)/(dely^2)=0` Upon discretizing the spatial derivatives using central difference scheme, we get: `(T_(i+1,j)-2T_(i,j)+T_(i-1,j))/(Deltax^2)+(T_(i,j+1)-2T_(i,j)+T_(i,j-1))/(Deltay^2)=0`…