Basically the steady-state diffusion equation can be written in a form(adsbygoogle = window.adsbygoogle || []).push({});

[itex] \nabla^2\phi\,+\,k^2\phi\,=\,S[/itex]

When S = 0, this is just the Helmholtz equation - http://mathworld.wolfram.com/HelmholtzDifferentialEquation.html

See also - http://www.math.ohio-state.edu/~gerlach/math/BVtypset/node107.html [Broken]

To solve it, like any differential equation, one simply applies the boundary conditions.

I will add more later.

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

Join Physics Forums Today!

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

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

# Diffusion equation and neutron diffusion theory

Loading...

Similar Threads for Diffusion equation neutron | Date |
---|---|

Diffusion equation | May 27, 2016 |

Diffusion Equation and Flux | Jan 23, 2013 |

Nondimentional Diffusion Equation | May 15, 2011 |

Adjoint flux for multi-group diffusion equation for criticality problem? | May 5, 2011 |

Diffusion Equation | Jun 2, 2010 |

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