An Efficient Linearized Difference Algorithm for a Diffusive Sel′kov-Schnakenberg System

被引:0
|
作者
Wang, Yange [1 ]
Bai, Xixian [2 ]
机构
[1] Zhengzhou Univ Econ & Business, Sch Comp Sci, Zhengzhou 451191, Peoples R China
[2] Zhengzhou Univ, Sch Math & Stat, Zhengzhou 450001, Peoples R China
关键词
finite difference method; Selkov-Schnakenberg system; boundedness; existence and uniqueness; GLYCOLYSIS;
D O I
10.3390/math12060894
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
This study provides an efficient linearized difference algorithm for a diffusive Sel ' kov-Schnakenberg system. The algorithm is developed by using a finite difference method that relies on a three-level linearization approach. The boundedness, existence and uniqueness of the solution of our proposed algorithm are proved. The numerical experiments not only validate the accuracy of the algorithm but also preserve the Turing patterns.
引用
收藏
页数:15
相关论文
共 7 条
  • [1] Turing instability and pattern formation in a diffusive Sel'kov-Schnakenberg system
    Wang, Yong
    Zhou, Xu
    Jiang, Weihua
    Qi, Liangping
    [J]. JOURNAL OF MATHEMATICAL CHEMISTRY, 2023, 61 (05) : 1036 - 1062
  • [2] Turing-Hopf Bifurcation Analysis of the Sel'kov-Schnakenberg System
    Liu, Yuying
    Wei, Xin
    [J]. INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2023, 33 (01):
  • [3] STEADY STATES OF A SEL'KOV-SCHNAKENBERG REACTION-DIFFUSION SYSTEM
    Li, Bo
    Zhang, Xiaoyan
    [J]. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S, 2017, 10 (05): : 1009 - 1023
  • [4] Analysis on a generalized Sel'kov-Schnakenberg reaction-diffusion system
    Li, Bo
    Wang, Fangfang
    Zhang, Xiaoyan
    [J]. NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2018, 44 : 537 - 558
  • [5] Bifurcations in a General Delay Sel'kov-Schnakenberg Reaction-Diffusion System
    Li, Yanqiu
    Zhang, Lei
    [J]. INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2023, 33 (16):
  • [6] Turing instability and pattern formation in a diffusive Sel’kov–Schnakenberg system
    Yong Wang
    Xu Zhou
    Weihua Jiang
    Liangping Qi
    [J]. Journal of Mathematical Chemistry, 2023, 61 : 1036 - 1062
  • [7] Efficient Difference Analysis Algorithm for Runtime Requirement Degradation under System Functional Fault
    Li, Jialong
    Aizawa, Kazuya
    Tei, Kenji
    Honiden, Shinichi
    [J]. 2020 IEEE 18TH INTERNATIONAL CONFERENCE ON EMBEDDED AND UBIQUITOUS COMPUTING, EUC 2020, 2020, : 33 - 40