首页 | 本学科首页 官方微博 | 高级检索
 全部专业 化学 晶体学 力学 数学 物理学 学报及综合类   按 中文标题 英文标题 中文关键词 英文关键词 中文摘要 英文摘要 作者中文名 作者英文名 单位中文名 单位英文名 基金中文名 基金英文名 杂志中文名 杂志英文名 栏目英文名 栏目英文名 DOI 责任编辑 分类号 杂志ISSN号 检索

 Second-order implicit–explicit scheme for the Gray–Scott model Authors: Kai Zhang  Jeff C-F Wong  Ran Zhang Institution: 1. Department of Mathematics, Jilin University, Changchun, Jilin, 130023, PR China;2. Department of Mathematics, The Chinese University of Hong Kong, Lady Shaw Building, Rm 208, Shatin N.T., Hong Kong Abstract: 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 L2$L2$-norm error estimates are derived. Numerical experiments are presented. Keywords: 65M60  65M12  65L06 本文献已被 ScienceDirect 等数据库收录！