Second-order implicit-explicit scheme for the Gray-Scott model

被引：22

作者：

Zhang, Kai ^{[2
]}

Wong, Jeff C. -F. ^{[1
]}

Zhang, Ran ^{[2
]}

机构：

[1] Chinese Univ Hong Kong, Dept Math, Shatin, Hong Kong, Peoples R China

[2] Jilin Univ, Dept Math, Changchun 130023, Jilin, Peoples R China

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2008年 / 213卷 / 02期

关键词：

finite element method; Gray-Scott model; implicit-explicit scheme; reaction-diffusion;

D O I：

10.1016/j.cam.2007.01.038

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A second-order scheme for the Gray-Scott (GS) model used to describe the pattern formation is studied. The linear part of the GS equation for the time derivative and the viscous terms is discretized implicitly, while the other (or nonlinear) part of the GS equation explicitly. Galerkin finite element approximation methods are presented and analyzed, as well as methods for solving the resulting system of equations. The optimal L-2-norm error estimates are derived. Numerical experiments are presented. (c) 2007 Elsevier B.V. All rights reserved.

引用

页码：559 / 581

页数：23

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