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.
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.
出处
《上海师范大学学报（自然科学版）》
2011年第4期349-355,共7页
Journal of Shanghai Normal University(Natural Sciences)
基金
supported in part by the NSF of China under Grant(11071170)
Chuangxin Project of Shanghai Municipal Education Commission(11ZZ118)
