Tue May 20 22:21:19 2025

normal_ode_test():
  python version: 3.10.12
  numpy version:  1.26.4
  normal_ode() defines an ODE for the normal PDF.
  Solve this ODE using the Euler method.
  Estimate ODE approximation error by taking twice as many steps.

  parameters:
    t0 =     -5.0
    y0 =     1.4867195147342979e-06
    tstop =  5.0
  Graphics saved as "normal_ode.png"
  Graphics saved as "normal_ode_error.png"

  Solution used  100  and  200  steps.
  Estimated RMS error =  0.03570454646918994
  Exact     RMS error =  0.12896427837922048

  At the point t         =  5.0
  Y estimate             =  [2.7928498e-08]
  Y double step estimate =  [2.29528315e-07]
  Y exact value          =  1.4867195147343165e-06
  Y error estimate       =  [2.01599817e-07]
  Y exact error          =  [1.45879102e-06]

normal_ode_test():
  Normal end of execution.
Tue May 20 22:21:20 2025