Problem 2 ( 40 points) Axial dispersion in a chemical tubular reactor is modeled using the following equation: d2d2ddkm=0Subjecttoboundaryconditions:(=0)=0.8and;0xL(=0.3)=0.4 Consider L=0.3,k=3, and =0.1, where is a dimensionless tubular axis, and is a dimensionless concentration. Using the finite difference method, answer the following questions: (Part A) Consider the value m=1,0 : a) Transform the BVP to a system of linear equations in the form of Ax=b. Discretize the above equation into 3 equal sized intervals. (10 points)