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

Author

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  • Yange Wang

    (School of Computer Science, Zhengzhou University of Economics and Business, Zhengzhou 451191, China)

  • Xixian Bai

    (School of Mathematics and Statistics, Zhengzhou University, Zhengzhou 450001, China)

Abstract

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.

Suggested Citation

  • Yange Wang & Xixian Bai, 2024. "An Efficient Linearized Difference Algorithm for a Diffusive Sel ′ kov–Schnakenberg System," Mathematics, MDPI, vol. 12(6), pages 1-15, March.
    • Handle: RePEc:gam:jmathe:v:12:y:2024:i:6:p:894-:d:1359092
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    References listed on IDEAS

    as
    1. Iqbal, Muhammad S. & Seadawy, Aly R. & Baber, Muhammad Z., 2022. "Demonstration of unique problems from Soliton solutions to nonlinear Selkov–Schnakenberg system," Chaos, Solitons & Fractals, Elsevier, vol. 162(C).
    2. Li, Yanqiu & Zhou, Yibo, 2023. "Turing–Hopf bifurcation in a general Selkov–Schnakenberg reaction–diffusion system," Chaos, Solitons & Fractals, Elsevier, vol. 171(C).
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