Implicit and conservative difference scheme for the Fokker-Planck equation
type: Item
instance of: scholarly article
title: Implicit and conservative difference scheme for the Fokker-Planck equation
zbMATH Open document ID: 0806.76050
author: E. M. Epperlein
published in: Journal of Computational Physics
publication date: 1994-08-21T00:00:00Z
review text: An implicit and fully conservative finite-difference scheme is proposed for solving the Fokker-Planck equation for Coulomb collisions between isotropically distributed like particles in a spatially homogeneous plasma. The scheme extends the standard Chang-Cooper method [\textit{J. S. Chang} and \textit{G. Cooper}, J. Comput. Phys. 6, 1-16 (1970; Zbl 0221.65153)] by providing not only number density conservation, but also energy conservation. As a result, time steps much larger than the thermal collision time can be used to stably and accurately simulate plasmas far from thermal equilibrium.
Mathematics Subject Classification ID: 76M20
Mathematics Subject Classification ID: 76X05
zbMATH DE Number: 622269
zbMATH Keywords: multidimensional transport
zbMATH Keywords: Coulomb collisions
zbMATH Keywords: homogeneous plasma
zbMATH Keywords: Chang-Cooper method
zbMATH Keywords: density conservation
zbMATH Keywords: energy conservation
zbMATH Keywords: time steps
MaRDI profile type: Publication
full work available at URL: jcph.1994.1101
OpenAlex ID: W2084455462
DOI: 10.1006/JCPH.1994.1101
description: scientific article; zbMATH DE number 622269