Computer code should be written in CIC+ or MATLAB. If possible, use of MS Excel is also allowed. If you are coding using MATLAB, the use of built-in ode/pde and non-linear equation solvers are not allowed. However, the use of the backslash operator to solve linear systems of equation is allowed. Problem 4 Solve the following Parabolic PDE, subject to the following initial and boundary conditions: u(z, 0) = e-(2(z-1) 2, u(-0.5, t) = u(3, t) = 0 Use the Method of Lines (MOL) with ?-0.05, N-99 (number of x-interior points) and At-0.001 Computer code should be written in CIC+ or MATLAB. If possible, use of MS Excel is also allowed. If you are coding using MATLAB, the use of built-in ode/pde and non-linear equation solvers are not allowed. However, the use of the backslash operator to solve linear systems of equation is allowed. Problem 4 Solve the following Parabolic PDE, subject to the following initial and boundary conditions: u(z, 0) = e-(2(z-1) 2, u(-0.5, t) = u(3, t) = 0 Use the Method of Lines (MOL) with ?-0.05, N-99 (number of x-interior points) and At-0.001