| 非线性时滞反应-扩散方程向后欧拉方法的动力学性态 |
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| 引用本文： | 刘倩倩, 田红炯.非线性时滞反应-扩散方程向后欧拉方法的动力学性态[J].上海师范大学学报(自然科学版),2011,40(4). |
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| 作者姓名： | 刘倩倩 田红炯 |
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| 作者单位： | 上海师范大学数理学院,上海,200234 |
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| 基金项目： | supported in part by the NSF of China under Grant(11071170); Chuangxin Project of Shanghai Municipal Education Commission(11ZZ118) |
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| 摘 要： | Hutchinson方程是涉及到反应-扩散量的非线性时滞方程.在给定初始值和周期边界条件,研究Hutchinson方程的不动点以及不动点的线性稳定性.通过数值例子证明不定点的线性稳定的正确性,并分析说明时滞量对数值方法稳定性的影响.
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| 关 键 词： | Hutchinson方程 线性稳定 向后欧拉方法 时滞量 |
Dynamics of the Backward Euler's method for a nonlinear reaction-diffusion model with delay |
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| LIU Qian-qian,TIAN Hong-jiong.Dynamics of the Backward Euler's method for a nonlinear reaction-diffusion model with delay[J].Journal of Shanghai Normal University(Natural Sciences),2011,40(4). |
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| Authors: | LIU Qian-qian TIAN Hong-jiong |
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| Institution: | LIU Qian-qian,TIAN Hong-jiong(College of Mathematics and Sciences,Shanghai Normal University,Shanghai 200234) |
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| Abstract: | Hutchinson's equation is a reaction-diffusion model with a delay in the quadratic reaction term.For the case where initial conditions and periodic boundary conditions are supplied,we look at the use of central differences in space and the backward Euler's method in time.Our aim is to study the linear stability of the fixed points and investigate the impact of the delay on the long - term behavior of the numerical scheme. |
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| Keywords: | Hutchinson's equation linear stability backward Euler's method delay |
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