Solve using matlab 1)Discretizing the differential equation 2)Simplify to the form Ax = b 3) Matlab solution for x

Diffusion and reaction takes place in a pore of length 1mm. The rate constant of the reaction inside the pore is k=103s1 and the effective diffusivity of the species is D=109m2/s. The concentration of the reactant at the mouth of the pore is 1mol/m3. Obtain analytical solutions as well as finite-difference solutions (with 100 parts made, with x=100103=105m ) of the concentration profile of the reactant species in the pore