Worksheet for numerical stability -- bad case

                                                                                          
                                                d2T        T(i+1) + T(i-1) - 2T(i)                          d2T       
Time           Temperature                      ---- =    -------------------------                     k  -----  dt
                                                dx2                dx*dx                                    dx2


        100    0    0    0    0    0    0       X   10000    0     0     0     0     0       X    100    0    0    0    0    0
  0     ____ ____ ____ ____ ____ ____ ____     ____ _____ _____ _____ _____ _____ _____     ____ ____ ____ ____ ____ ____ ____   
       
        x=0   0.1  0.2  0.3  0.4  0.5  0.6     x=0   0.1   0.2   0.3   0.4   0.5   0.6      x=0   0.1  0.2  0.3  0.4  0.5  0.6


        100                                     X                                            X
100     ____ ____ ____ ____ ____ ____ ____     ____ _____ _____ _____ _____ _____ _____     ____ ____ ____ ____ ____ ____ ____   



        100                                     X                                            X
200     ____ ____ ____ ____ ____ ____ ____     ____ _____ _____ _____ _____ _____ _____     ____ ____ ____ ____ ____ ____ ____   



        100                                     X                                            X
300     ____ ____ ____ ____ ____ ____ ____     ____ _____ _____ _____ _____ _____ _____     ____ ____ ____ ____ ____ ____ ____   



        100                                     X                                            X
400     ____ ____ ____ ____ ____ ____ ____     ____ _____ _____ _____ _____ _____ _____     ____ ____ ____ ____ ____ ____ ____