A meshless method for solving the 2D brusselator reaction-diffusion system

被引：0
|
作者：
Mohammadi, M. [1 ]
Mokhtari, R. [2 ]
Schaback, R. [3 ]
机构：
[1] Faculty of Mathematical Sciences and Computer, Kharazmi University, 50 Taleghani Ave, Tehran,1561836314, Iran
[2] Department of Mathematical Sciences, Isfahan University of Technology, Isfahan,84156-83111, Iran
[3] Institut für Numerische und Angewandte Mathematik, Universität Göttingen, Lotzestraße 16-18, Göttingen,D-37073, Germany
来源：
CMES - Computer Modeling in Engineering and Sciences | 2014年 / 101卷 / 02期
关键词：
Diffusion in liquids - Dynamic models - Hilbert spaces - Phase space methods - Vector spaces;
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学科分类号：
摘要：
In this paper, the two-dimensional (2D) Brusselator reaction-diffusion system is simulated numerically by the method of lines. The proposed method is implemented as a meshless method based on spatial trial functions in the reproducing kernel Hilbert spaces. For efficiency and stability reasons, we use the Newton basis introduced recently by Müller and Schaback. The method is shown to work in all interesting situations described by Hopf bifurcations and Turing patterns. Copyright © 2014 Tech Science Press
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页码：113 / 138
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