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

- A component C is transported by means of convection and diffusion through a one-dimensional space 0x1. The velocity associated with the flow (convection) is v and the diffusivity or diffusion coefficient of the species along the x-direction is D. The relevant convective-diffusion equation is given by, udxdC+Ddx2d2C=0 The boundary conditions are: x=0,C=C0=1;x=1,C=CL=0.(L=1) - Show that the analytical solution for the problem is C(x)=C0+ePe1ePe(x/L)1(CLC0) where Pe=DuL is the Peclet Number, a dimensionless quantity. Take Pe=50. 1s In other words, since L=1,u/D=50.)