一类生长-抑制系统的高精度紧致差分格式
A high precision compact difference scheme for a class of growth-inhibition systems
柳春秀 1叶星旸1
作者信息
- 1. 集美大学 理学院,福建 厦门 361021
- 折叠
摘要
主要研究了一类生长-抑制系统的有限差分方法.基于紧致差分方法及Crank-Nicolson方法,建立了 一个时间方向具有二阶精度、空间方向具有四阶收敛精度的数值格式,详细分析了该格式的收敛性以及稳定性,通过数值算例验证了数值方法的有效性.
Abstract
In this paper,the finite difference method for a class of growth-inhibition systems is studied.Based on the compact difference method and Crank-Nicolson method,a numerical scheme with second-order accuracy in time and fourth-order convergence accuracy in space is established.Stability and convergence of the obtained nu-merical scheme are analyzed theoretically.Numerical example is provided to verify the theoretical statement.
关键词
生长-抑制系统/Crank-Nicolson法/紧致差分法/收敛性/稳定性Key words
growth-inhibition system/Crank-Nicolson method/compact difference method/convergence/stability引用本文复制引用
基金项目
福建省自然科学基金面上项目(2022J01338)
出版年
2024
NETL
NSTL
万方数据