Here are some supplemental notes for Chapter 7.  

pde_1_main.m      Main program in Chapter 7 as discussed with Listing 7.1

pde_1.m           Execution of the main program with mf=1 calls this ODE
                  routine (from ode15s)

pde_2.m           Execution of the main program with mf=2 calls this ODE
                  routine (from ode15s)

pde_3.m           Execution of the main program with mf=3 calls this ODE
                  routine (from ode15s)

pde_4.m           Execution of the main program with mf=4 calls this ODE
                  routine (from ode15s)