A deterministic particle method for transport diffusion equations: Application to the Fokker-Planck equation
type: Item
instance of: scholarly article
title: A deterministic particle method for transport diffusion equations: Application to the Fokker-Planck equation
zbMATH Open document ID: 0673.65083
DOI: 10.1016/0021-9991(89)90038-7
published in: Journal of Computational Physics
publication date: 1989-01-01T00:00:00Z
review text: This paper considers various classes of diffusion equations and introduces a particle method for their solution. The Fokker-Planck equation is examined in detail which describes fast ion transport in a background plasma. The simplest equation considered however is \(\partial f/\partial t-\sigma (\partial^ 2f)/\partial x^ 2=0\) with \(f(x,0)=f_ 0\). The particle approximation consists of replacing \(f_ 0\) by a linear combination of Dirac functions. The time dependence is approximated by a simple explicit Euler scheme and a stability condition is given.
Mathematics Subject Classification ID: 65Z05
Mathematics Subject Classification ID: 76X05
Mathematics Subject Classification ID: 65N12
Mathematics Subject Classification ID: 35Q99
zbMATH DE Number: 4102445
zbMATH Keywords: deterministic particle method
zbMATH Keywords: transport diffusion equations
zbMATH Keywords: Fokker- Planck equation
zbMATH Keywords: fast ion transport
zbMATH Keywords: plasma
zbMATH Keywords: explicit Euler scheme
zbMATH Keywords: stability
author: François Hermeline
reviewed by: Brian L. Burrows
MaRDI profile type: Publication
full work available at URL: 0021-9991(89)90038-7
OpenAlex ID: W2022214434
cites work: Q3994787
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description: scientific article; zbMATH DE number 4102445