CAJ | 학술논문

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.
Hutchinson방정시섭급도반응-확산량적비선성시체방정.재급정초시치화주기변계조건,연구Hutchinson방정적불동점이급불동점적선성은정성.통과수치례자증명불정점적선성은정적정학성,병분석설명시체량대수치방법은정성적영향.
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.