Hello all,(adsbygoogle = window.adsbygoogle || []).push({});

I would like to know how to impose a normalization condition to numerically solving an ODE. For simplicity lets consider the example

[tex] \frac{dy}{dx}=y [/tex]

You could use different methods using an initial value, but if you consider the interval [tex][x_0,x_1][/tex] and [tex] \int_{x_0}^{x_1} y(x)dx=1 [/tex] How would you impose that condition in a numerical scheme (instead of the initial value condition)?

This arises in the context of PDEs over PDFs, such as Fokker-Planck equations. I consider the ODE case for simplicity.

Thank you very much

**Physics Forums - The Fusion of Science and Community**

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Imposing normalization in numerical solution of of ODE

Loading...

Similar Threads - Imposing normalization numerical | Date |
---|---|

I Neural Networks vs Traditional Numerical Methods | Feb 7, 2018 |

Normalizing boundary conditions | Nov 21, 2014 |

Why normalize equations when solving numerically? | Sep 3, 2014 |

Normal derivative at boundary Laplace's equation half plane | May 1, 2014 |

Normalization of Orthogonal Polynomials? | Nov 9, 2013 |

**Physics Forums - The Fusion of Science and Community**