Please use this identifier to cite or link to this item: http://repositorio.unicamp.br/jspui/handle/REPOSIP/71876
Type: Artigo de periódico
Title: Solving procedure for a 25-diagonal coefficient matrix: Direct numerical solutions of the three-dimensional linear Fokker-Planck equation
Author: Ujevic, M
Letelier, PS
Abstract: We describe an implicit procedure for solving linear equation systems resulting from the discretization of the three-dimensional (seven variables) linear Fokker-Planck equation. The discretization of the Fokker-Planck equation is performed using a 25-point molecule that leads to a coefficient matrix with equal number of diagonals. The method is all extension of Stone's implicit procedure, includes a vast class of collision terms and can be applied to stationary or non stationary problems with different discretizations in time. Test calculations and comparisons with other methods are presented in two stationary examples, including an astrophysical application for the Miyamoto-Nagai disk potential for a typical galaxy. (c) 2005 Elsevier Inc. All rights reserved.
Subject: numerical method
three-dimensional Fokker-Planck equation
Country: EUA
Editor: Academic Press Inc Elsevier Science
Rights: fechado
Identifier DOI: 10.1016/j.jcp.2005.11.004
Date Issue: 2006
Appears in Collections:Artigos e Materiais de Revistas Científicas - Unicamp

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