NUMERICAL APPROXIMATION OF THE SMOLUCHOWSKI EQUATION USING RADIAL BASIS FUNCTIONS  

作　　者：Christiane Helzel Maximilian Schneiders 

机构地区：[1]Institut of Mathematics,Heinrich-Heine-Universitat Dusseldorf,Germany [2]formerly Institut of Mathematics,Heinrich-Heine-Universitat Dusseldorf,Germany

出　　处：《Journal of Computational Mathematics》2020年第1期176-194,共19页计算数学（英文）

摘　　要：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 show that RBF methods are an attractive alternative for these kind of models.

关 键 词：Smoluchowski equation Spectral method Radial basis function method 

分 类 号：O17[理学—数学]