Year: 2020
Author: Christiane Helzel, Maximilian Schneiders
Journal of Computational Mathematics, Vol. 38 (2020), Iss. 1 : pp. 176–194
Abstract
The goal of this paper is to present a numerical method for the Smoluchowski equation, a drift-diffusion equation on the sphere, arising in the modelling of particle dynamics. The numerical method uses radial basis functions (RBF). This is a relatively new approach, which has recently mainly been used for geophysical applications. For a simplified model problem we compare the RBF approach with a spectral method, i.e. the standard approach used in related physical applications. This comparison as well as our other accuracy studies shows that RBF methods are an attractive alternative for this kind of models.
You do not have full access to this article.
Already a Subscriber? Sign in as an individual or via your institution
Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jcm.1908-m2018-0211
Journal of Computational Mathematics, Vol. 38 (2020), Iss. 1 : pp. 176–194
Published online: 2020-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 19
Keywords: Smoluchowski equation Spectral method Radial basis function method.
Author Details
-
Numerical discretisation of hyperbolic systems of moment equations describing sedimentation in suspensions of rod-like particles
Dahm, Sina
Giesselmann, Jan
Helzel, Christiane
Journal of Computational Physics, Vol. 513 (2024), Iss. P.113162
https://doi.org/10.1016/j.jcp.2024.113162 [Citations: 0]