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

I am trying to solve the FPE in 2D,

The equation is (with implied summation over repeated indices):

[itex] 0 = \left(- \displaystyle \frac{d}{dx_i} D_i^{(1)} + \frac{d}{dx_i}\frac{d}{dx_j} D_{ij}^{(2)}\right) ( n ) [/itex]

where my diffusion coefficients (the D are functions of position; i.e they may not be constants. I don't have them analytically, but I have another microscopic model that calculates these diffusion coefficients and gives them to me in a discrete array. These are smooth functions in general, therefore I can interpolate them if I need to give "continuous" descriptions of them.

I am trying to crack pdetool Box from MATLAB; but I am having trouble whether the FPE fits into an "elliptic" function category; or would I ever be able to put Drift and Diffusion coefficients that are changing in position?

I attend a public university, and I have access to standard software such as Mathematica, Matlab, Maple, Comsol or any other that comes to mind. Does anyone have experience with a problem like this?

Any help would be greatly appreciated.

Sokrates.

**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!

# Solving Steady Fokker-Planck Equation in 2D using standard software

Can you offer guidance or do you also need help?

Draft saved
Draft deleted

Loading...

Similar Threads for Solving Steady Fokker | Date |
---|---|

I Is this numerical techique for solving ODEs widely known? | Yesterday at 4:29 PM |

A Solving an ODE Eigenvalue Problem via the Ritz method | Mar 14, 2018 |

A Solve a non-linear ODE of third order | Feb 20, 2018 |

A Solving linear 2nd order IVP non-constant coefficient | Jan 10, 2018 |

Solving one dimension steady state heat equation with finite differences | Aug 1, 2012 |

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