| 求解反应扩散方程的紧致隐积分因子方法 |
| |
| 引用本文： | 张荣培.求解反应扩散方程的紧致隐积分因子方法[J].中国海洋大学学报(自然科学版),2012(Z1):208-212. |
| |
| 作者姓名： | 张荣培 |
| |
| 作者单位： | 辽宁石油化工大学理学院;中国工程物理研究院研究生部 |
| |
| 基金项目： | 国家自然科学基金青年基金项目(61105130)资助 |
| |
| 摘 要： | 积分因子(IF)方法是近年来提出的求解刚性常微分方程组的一种有效的数值方法。本文应用改进的紧致隐积分因子(cIIF)方法求解二维反应扩散方程。在空间离散上采用二阶中心差分方法。数值模拟得到各种斑图结构与所引文献结果相当一致。
|
| 关 键 词： | 反应扩散方程 紧致隐积分因子方法 有限差分 |
Compact Implicit Integration Factor Method to Solve the Reaction Diffusion Equation |
| |
| ZHANG Rong-Pei.Compact Implicit Integration Factor Method to Solve the Reaction Diffusion Equation[J].Periodical of Ocean University of China,2012(Z1):208-212. |
| |
| Authors: | ZHANG Rong-Pei |
| |
| Institution: | ZHANG Rong-Pei1,2(1.School of Science,Liaoning Shihua University,Liaoning 113001,China;2.Graduate School of China Academy of Engineering Physics,Beijing 100088,China;) |
| |
| Abstract: | Integration factor(IF) method is a kind of efficient time discretization method which was proposed to solve the stiff ordinary differential equations recently.In this paper,the compact implicit integration factor(cIIF) method was applied to solving two-dimensional reaction diffusion equations.For spatial discretization,second order central finite difference scheme was used.Pattern formation obtained by the cIIF method agrees well with the results reported in previous refenences. |
| |
| Keywords: | reaction diffusion equation compact implicit integration factor finite difference |
| 本文献已被 CNKI 等数据库收录！ |
