Q1) (50 points) An ordinary differential equation with a Neumann boundary condition. Let's consider a simple diffusion and simultaneous first-order reaction in a reactor with a length of L in the z axis, where A is converted into B with a reaction rate of k. The concentration distribution of A is governed by the following ODE: DABdzd2CA=kCA where CA and DAB is the concentration of A and diffusion coefficient respectively. Predict the concentration of A using the finite difference method with the centered finite difference (first-order approximation) for the spatial derivative. Use the boundary conditions and parameters