Hey Guys,(adsbygoogle = window.adsbygoogle || []).push({});

So I am trying to model the development of a collisional plasma in time. Now the problem I face is at the sheath boundary the changes in the charge densities is very large.

I use the charge densities to evaluate the electric potential at different points in the plasma. I have the charge densities as a number available at all points.

Now comes the problem. When I use a regular solver like Gauss Siedel or Successive Over relaxation, the changes in charge density in space is still too rapid for these methods to give me a solution within respectable error tolerances. (at least 1e-2).

The in built poisson solver in matlab requires a two dimensional case. I was curious if anyone know of a robust poisson solver for a one-d case which can handle stiff cases.

Its is a dirichlet problem. I know the potential at both boundaries (one is the electrode and the other is the wall).

Would be great if I can get some insight.

Thanks

Aditya

**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!

# Stiff- One-Dimensional Poisson Equation in Plasma

Can you offer guidance or do you also need help?

Draft saved
Draft deleted

Loading...

Similar Threads - Stiff Dimensional Poisson | Date |
---|---|

A Numerical solution for a two dimensional 3rd order nonlinear diff. eq. | Jan 17, 2018 |

I Three dimensional heat equation | Sep 25, 2016 |

Numerical stability of stiff problem | Feb 13, 2013 |

Stiff ODE | Nov 14, 2012 |

Numeric solution for nonlinear (stiff?) ODE - Mathematica syntax problem? (NDSolve) | Jul 25, 2011 |

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